HENRIQUE FERNANDES DE LIMA

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Produções bibliográficas

• Velásquez, M.A.L. ; De Lima, H.F. ; LACERDA, J. H. H. . Spacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-vave spacetimes. Collectanea Mathematica , v. 75, p. 189-211, 2024.

• SILVA, D. F. ; LIMA JR, E. A. ; De Lima, H.F. . Spacelike submanifolds with parallel Gaussian mean curvature vector: Rigidity and nonexistence. MANUSCRIPTA MATHEMATICA , v. 173, p. 451-462, 2024.

• De Lima, H.F. ; GOMES, W. F. ; SANTOS, M. S. ; Velásquez, M.A.L. . ON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIME. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY (2001. ONLINE) , v. 116, p. 221-256, 2024.

• CUNHA, A. W. ; LIMA, E. L. ; De Lima, H.F. . Revisiting Gradient Bach Solitons via Maximum Principles. International Electronic Journal Of Geometry , p. 207-2012, 2024.

• SILVA, R. A. ; De Lima, H.F. . L-Parabolic linear Weingarten spacelike hypersurfaces in a locally symmetric Einstein spacetime. Rendiconti del Circolo Matematico di Palermo , v. 72, p. 37-47, 2023.

• BARBOZA, W. F. C. ; De Lima, H.F. ; Velásquez, M.A.L. . Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space. ANNALI DELL'UNIVERSITA' DI FERRARA , v. 69, p. 95-109, 2023.

• De Lima, H.F. ; ROCHA, L. S. ; Velásquez, M.A.L. . Rigidity of spacelike LW-submanifolds in the de Sitter space. Rendiconti del Circolo Matematico di Palermo , v. 72, p. 2389-2407, 2023.

• FREITAS, A. G. ; De Lima, H.F. ; SANTOS, M. S. ; SINDEAUX, J. S. . Nonexistence and rigidity of spacelike mean curvature flow solitons immersed in a GRW spacetime. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY , v. 63, p. 2, 2023.

• BATISTA, M. H. ; BISCI, G. M. ; De Lima, H.F. . Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density. Mathematics In Engineering , v. 5, p. 1-18, 2023.

• De Lima, H.F. ; ROCHA, L. S. ; Velásquez, M.A.L. . Nonexistence and umbilicity of spacelike submanifolds with second fundamental form locally timelike. Arabian Journal Of Mathematics , v. 12, p. 151-160, 2023.

• CUNHA, A. W. ; SILVA JUNIOR, A. N. A. ; LIMA, E. L. ; De Lima, H.F. . A note on the triviality of gradient solitons of the Ricci-Bourguignon flow. ARCHIV DER MATHEMATIK , v. 120, p. 89-98, 2023.

• ARAUJO, J. G. ; De Lima, H.F. ; GOMES, W. F. . On the rigidity of mean curvature flow solitons in certain semi-Riemannian warped products. Kodai Mathematical Journal , v. 46, p. 62-74, 2023.

• BARBOZA, W. F. C. ; De Lima, H.F. ; Velásquez, M.A.L. . Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE (PRINT) , v. 64, p. 39-61, 2023.

• SILVA, D. F. ; LIMA JR, E. A. ; De Lima, H.F. . Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces. Partial Differential Equations and Applications , v. 4, p. 4, 2023.

• BATISTA, M. H. ; De Lima, H.F. . Maximum Principles Applied to Translating Solitons of the Mean Curvature Flow in Product Spaces. Results in Mathematics , v. 78, p. 57, 2023.

• De Lima, H.F. ; ROCHA, L. S. ; Velásquez, M.A.L. . New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles. BOLETÍN DE LA SOCIEDAD MATEMÁTICA MEXICANA (ONLINE) , v. 29, p. 24, 2023.

• BISCI, G. M. ; LACERDA, J. H. H. ; De Lima, H.F. ; Velásquez, M.A.L. . On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes. Discrete and Continuous Dynamical Systems-Series S , v. 16, p. 3212-3257, 2023.

• BARBOZA, W. F. C. ; De Lima, H.F. . On the rigidity of spacelike submanifolds with parallel Gaussian mean curvature vector. ACTA MATHEMATICA HUNGARICA , p. 323-329, 2023.

• BATISTA, M. H. ; BISCI, G. M. ; De Lima, H.F. ; GOMES, W. F. . Solitons of the spacelike mean curvature flow in a generalized Robertson-Walker spacetime. New York Journal of Mathematics , v. 29, p. 554-579, 2023.

• BATISTA, M. H. ; De Lima, H.F. ; GOMES, W. F. . Rigidity of Mean Curvature Flow Solitons and Uniqueness of Solutions of the Mean Curvature Flow Soliton Equation in Certain Warped Products. Mediterranean Journal of Mathematics , v. 20, p. 199, 2023.

• De Lima, H.F. ; SANTOS, F. R. . Stochastically complete submanifolds with parallel mean curvature vector field in a Riemannian space form. COMMUNICATIONS IN ANALYSIS AND GEOMETRY , v. 30, p. 1793-1809, 2022.

• BARBOZA, W. F. C. ; LIMA, E. L. ; LIMA, H. F. ; Velásquez, M.A.L. . On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space. Bulletin of Mathematical Sciences , v. 12, p. 1-12, 2022.

• LIMA, E. L. ; De Lima, H.F. . A gap theorem for constant scalar curvature hypersurfaces. Collectanea Mathematica , v. 73, p. 1-11, 2022.

• BATISTA, M. H. ; De Lima, H.F. . Spacelike translating solitons in Lorentzian product spaces: Nonexistence, Calabi-Bernstein type results and examples. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS , v. 24, p. 2150034, 2022.

• SILVA, R. A. ; De Lima, H.F. . On the parabolicity of linear Weingarten submanifolds in the de Sitter space. Quaestiones Mathematicae , v. 45, p. 1589-1602, 2022.

• De Lima, H.F. . A note on maximal spacelike hypersurfaces in a generalized Robertson-Walker spacetime. Communications Of The Korean Mathematical Society , v. 37, p. 893-904, 2022.

• BARBOZA, W. F. C. ; De Lima, H.F. ; OLIVEIRA, A. M. ; Velásquez, M.A.L. . Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates. COLLOQUIUM MATHEMATICUM , v. 170, p. 253-273, 2022.

• SILVA, D. F. ; LIMA JR, E. A. ; De Lima, H.F. . Submanifolds with parallel weighted mean curvature vector in the Gaussian space. ARCHIV DER MATHEMATIK , v. 118, p. 663-673, 2022.

• De Lima, H.F. ; SANTOS, F. R. ; ROCHA, L. S. . Sharp Simons type integral inequalities for closed linear Weingarten submanifolds in a space form. JOURNAL OF GEOMETRY , v. 113, p. 18, 2022.

• De Lima, H.F. ; SANTOS, F. R. ; ROCHA, L. S. . A sharp integral inequality for compact linear Weingarten hypersurfaces. Bulletin of the Korean Mathematical Society , v. 59, p. 789-799, 2022.

• BARBOZA, W. F. C. ; De Lima, H.F. ; Velásquez, M.A.L. . Gap type results for spacelike submanifolds with parallel mean curvature vector. Mathematica Scandinavica , v. 128, p. 1-16, 2022.

• BISCI, G. M. ; BATISTA, M. H. ; De Lima, H.F. . Entire translating graphs in weighted product spaces: Rigidity and nonexistence results. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS , v. 83, p. 101899, 2022.

• De Lima, H.F. . A note on the nonexistence of spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form. ARCHIVUM MATHEMATICUM (PRINT) , p. 169-175, 2022.

• SILVA, R. A. ; De Lima, H.F. . $L$-parabolic linear Weingarten spacelike submanifolds immersed in an Einstein manifold. Portugaliae Mathematica , v. 79, p. 211-224, 2022.

• COLARES, A. G. ; De Lima, H.F. ; Velásquez, M.A.L. . Revisiting the geometry of horospheres of the hyperbolic space. MONATSHEFTE FUR MATHEMATIK , v. 199, p. 771-784, 2022.

• ARAUJO, J. G. ; De Lima, H.F. ; GOMES, W. F. . Rigidity of hypersurfaces and Moser-Bernstein type results in certain warped products, with applications to pseudo-hyperbolic spaces. Aequationes Mathematicae , p. 1159-1177, 2022.

• DA SILVA, DANILO F. ; LIMA, ERALDO A. ; DE LIMA, HENRIQUE F. . Uniqueness of hypersurfaces in weighted product spaces via maximum principles for the drift Laplacian. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2008) , v. 2022, p. 1-14, 2022.

• LIMA, E. L. ; De Lima, H.F. . Height estimates and half-space theorems for hypersurfaces in product spaces of the type -×Mn. ANAIS DA ACADEMIA BRASILEIRA DE CIÊNCIAS , v. 93, p. e20190329, 2021.

• VELÁSQUEZ, MARCO ANTONIO L. ; De Lima, H.F. ; RAMALHO, A. F. . Local rigidity, bifurcation, and stability of $H_f$-hypersurfaces in weighted Killing warped products. PUBLICACIONS MATEMATIQUES , v. 65, p. 363-388, 2021.

• De Lima, H.F. . Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space. COLLOQUIUM MATHEMATICUM , v. 165, p. 117-130, 2021.

• Velásquez, M.A.L. ; RAMALHO, A. F. ; De Lima, H.F. ; SANTOS, M. S. ; OLIVEIRA, A. M. . Conformal Killing graphs in foliated Riemannian spaces with density: rigidity and stability. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE (PRINT) , v. 62, p. 175-200, 2021.

• ARAUJO, J. G. ; De Lima, H.F. ; GOMES, W. F. . Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes. Revista Matematica Complutense , v. 34, p. 653-673, 2021.

• FREITAS, A. G. ; De Lima, H.F. ; LIMA JR, E. A. ; SANTOS, M. S. . Submanifolds immersed in Riemannian spaces endowed with a Killing vector field: Nonexistence and rigidity. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS , v. 75, p. 101714, 2021.

• ARAUJO, J. G. ; De Lima, H.F. ; LIMA JR, E. A. ; SANTOS, M. S. . On the geometry of submanifolds in certain warped products. INTERNATIONAL JOURNAL OF MATHEMATICS , v. 32, p. 2150044, 2021.

• De Lima, H.F. ; SANTOS, F. R. ; ROCHA, L. S. . A sharp integral inequality for closed spacelike submanifolds immersed in the de Sitter space. ARCHIV DER MATHEMATIK , v. 116, p. 683-691, 2021.

• LIMA, E. L. ; De Lima, H.F. . Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space. SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES , v. 15, p. 322-334, 2021.

• Aquino,C.P. ; De Lima, H.F. . Nomizu-Smyth type results in the hyperbolic and de Sitter spaces via Gauss-Kronecker curvature. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2008) , v. 14, p. 547-556, 2021.

• Aquino, C.P. ; De Lima, H.F. . Umbilicity of spacelike hypersurfaces immersed in a Lorentzian space form. International Journal of Geometry , v. 10, p. 107-114, 2021.

• COLARES, A. G. ; LIMA, E. L. ; De Lima, H.F. . Generalized Linear Weingarten Spacelike Hypersurfaces in GRW Spacetimes: Height Estimates and Half-Space Theorems. Mediterranean Journal of Mathematics , v. 18, p. 264, 2021.

• COLARES, A. G. ; LIMA, E. L. ; De Lima, H.F. . Complete spacelike hypersurfaces with constant scalar curvature: Descriptions and gaps. ILLINOIS JOURNAL OF MATHEMATICS , v. -1, p. 769-792, 2021.

• LIMA, E. L. ; De Lima, H.F. . A sharp integral inequality for compact Weingarten hypersurfaces under an Okumura type inequality. BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS , v. 69, p. 139-148, 2021.

• LIMA, E. L. ; De Lima, H.F. ; LIMA JR, E. A. ; MEDEIROS, A. A. . Constant mean curvature spacelike hypersurfaces in standard static spaces: rigidity and parabolicity. Hokkaido Mathematical Journal , v. 49, p. 297-323, 2020.

• SILVA, J. F. ; De Lima, H.F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Rigidity of submanifolds in the Euclidean and spherical spaces. Rendiconti del Circolo Matematico di Palermo , v. 69, p. 159-165, 2020.

• LIMA, E. L. ; De Lima, H.F. . COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY , v. 109, p. 81-92, 2020.

• BATISTA, M. H. ; De Lima, H.F. ; SANTOS, F. R. . On the classification of MOTS in the de Sitter space. MANUSCRIPTA MATHEMATICA , v. 162, p. 159-169, 2020.

• CUNHA, A. W. ; LIMA, E. L. ; De Lima, H.F. . $r$-Almost Newton-Ricci solitons immersed in a Lorentzian manifold: examples, nonexistence and rigidity. Kodai Mathematical Journal , v. 43, p. 42-56, 2020.

• ARAUJO, J. G. ; BARBOZA, W. F. C. ; De Lima, H.F. ; VELÁSQUEZ, MARCO ANTONIO L. . On the linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space. BEITRAGE ZUR ALGEBRA UND GEOMETRIE / CONTRIBUTIONS TO ALGEBRA AND GEOMETRY , v. 61, p. 267-282, 2020.

• CUNHA, A. W. ; De Lima, H.F. ; LIMA JR, E. A. ; SANTOS, M. S. . WEAKLY TRAPPED SUBMANIFOLDS IMMERSED IN GENERALIZED ROBERTSON-WALKER SPACETIMES. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , v. 484, p. 123734, 2020.

• Aquino, C.P. ; Baltazar, H. I. ; De Lima, H.F. . New characterizations of spacelike hyperplanes in the steady state space. MATHEMATICA SCANDINAVICA , v. 126, p. 61-72, 2020.

• De Lima, H.F. ; SANTOS, F. R. . Gap theorems for linear Weingarten surfaces. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE , p. 89-98, 2020.

• Aquino,C.P. ; Baltazar, H. I. ; De Lima, H.F. . New Calabi-Bernstein type results in Lorentzian product spaces with density. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , v. 197, p. 111855, 2020.

• De Lima, H.F. ; RAMALHO, A. F. ; Velásquez, M.A.L. . Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS , v. 70, p. 101623, 2020.

• LIMA, E. L. ; De Lima, H.F. ; RAMALHO, A. F. ; Velásquez, M.A.L. . Spacelike Hypersurfaces Immersed in Weighted Standard Static Spacetimes: Uniqueness, Nonexistence and Stability. Results in Mathematics , v. 75, p. 76, 2020.

• Velásquez, M.A.L. ; De Lima, H.F. . Complete spacelike hypersurfaces immersed in pp-wave spacetimes. GENERAL RELATIVITY AND GRAVITATION , v. 52, p. 41, 2020.

• ARAUJO, J. G. ; De Lima, H.F. ; GOMES, W. F. ; VELÁSQUEZ, MARCO ANTONIO L. . Submanifolds immersed in a warped product with density. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN , v. 27, p. 683-696, 2020.

• Velásquez, M.A.L. ; De Lima, H.F. ; SILVA, J. F. ; OLIVEIRA, A. M. . (r, k, a, b)-Stability of hypersurfaces in space forms. MONATSHEFTE FUR MATHEMATIK , p. 939-964, 2020.

• SANTOS, F. R. ; De Lima, H.F. ; ROCHA, L. S. . Revisiting linear Weingarten spacelike hypersurfaces immersed in the de Sitter space. International Journal of Geometry , v. 9, p. 93-100, 2020.

• De Lima, H.F. ; Velásquez, M.A.L. ; RAMALHO, A. F. . Solutions of the mean curvature equations in weighted standard static spacetimes. Electronic Journal of Differential Equations , v. 2020, p. 83, 2020.

• De Lima, H.F. ; OLIVEIRA, A. M. ; SILVA, J. F. ; Velásquez, M.A.L. . A new stability notion of closed hypersurfaces in the hyperbolic space. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN , v. 71, p. 413-428, 2019.

• OLIVEIRA, A. M. ; LIMA, H. F. ; VELÁSQUEZ, MARCO ANTONIO L. ; SILVA, J. F. . Stable compact spacelike hypersurfaces in the de Sitter space as maxima of a linear combination of area and volume. MANUSCRIPTA MATHEMATICA , v. 159, p. 229-245, 2019.

• ARAÚJO, JOGLI G. ; De Lima, H.F. ; VELÁSQUEZ, MARCO ANTONIO L. . Submanifolds immersed in a warped product: rigidity and nonexistence. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , v. 147, p. 811-821, 2019.

• De Lima, H.F. ; LIMA JR, E. A. ; MEDEIROS, A. A. ; SANTOS, M. S. . Rigidity results in certain manifolds with density. PUBLICATIONES MATHEMATICAE-DEBRECEN , v. 94, p. 171-185, 2019.

• De Lima, H.F. ; ARAUJO, J. G. . Linear Weingarten submanifolds in the hyperbolic space. CONTRIBUTIONS TO ALGEBRA AND GEOMETRY/BEITRAGE ZUR ALGEBRA UND GEOMETRIE , v. 60, p. 339-349, 2019.

• Aquino,C.P. ; Baltazar, H. I. ; De Lima, H.F. . Characterizing horospheres of the hyperbolic space via higher order mean curvatures. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS , v. 62, p. 109-119, 2019.

• LIMA, E. L. ; De Lima, H.F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Sharp eigenvalue estimates of closed H-hypersurfaces in locally symmetric spaces. CZECHOSLOVAK MATHEMATICAL JOURNAL , v. 69, p. 969-981, 2019.

• LIMA, E. L. ; De Lima, H.F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Scalar curvature estimates of constant mean curvature hypersurfaces in locally symmetric spaces. SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES , v. 13, p. 320-341, 2019.

• Aquino,C.P. ; BATISTA, M. H. ; De Lima, H.F. . On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form. JOURNAL OF GEOMETRY AND PHYSICS , v. 137, p. 228-236, 2019.

• LIMA, E. L. ; De Lima, H.F. ; LIMA JR, E. A. ; MEDEIROS, A. A. . Characterizations of minimal hypersurfaces immersed in certain warped products. Extracta Mathematicae , v. 34, p. 123-134, 2019.

• ARAUJO, J. G. ; De Lima, H.F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS , p. 1950050, 2019.

• ARAUJO, J. G. ; De Lima, H.F. . LW-surfaces with higher codimension and Liebmann?s Theorem in the hyperbolic space. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2008) , v. 12, p. 613-621, 2019.

• ARAUJO, J. G. ; De Lima, H.F. . Revisiting Liebmann?s theorem in higher codimension. BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS , p. 179-185, 2019.

• FREITAS, A. G. ; De Lima, H.F. ; LIMA JR, E. A. ; SANTOS, M. S. . Weakly trapped submanifolds in standard static spacetimes. ARKIV FOR MATEMATIK , v. 57, p. 317-332, 2019.

• SILVA, J. F. ; LIMA, H. F. ; Velásquez, M.A.L. . Stability of generalized linear Weingarten hypersurfaces immersed in the Euclidean space. PUBLICACIONS MATEMATIQUES , v. 62, p. 95-111, 2018.

• SANTOS, F. R. ; LIMA, H. F. . A Liebmann type theorem for linear Weingarten surfaces. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO (TESTO STAMPATO) , v. 67, p. 87-91, 2018.

• ARAUJO, J. G. ; BATISTA, M. H. ; De Lima, H.F. . Characterizations of complete hypersurfacesin locally symmetric Riemannian manifolds. COLLOQUIUM MATHEMATICUM , v. 153, p. 149-162, 2018.

• Aquino, C.P. ; BATISTA, MÁRCIO ; De Lima, H.F. . On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces. Advances in Geometry , v. 18, p. 425-430, 2018.

• LIMA, E. L. ; De Lima, H.F. ; Aquino,C.P. . Sharp height estimate in Lorentz-Minkowski space revisited. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN , v. 25, p. 29-38, 2018.

• De Lima, H.F. ; LIMA JR, E. A. ; MEDEIROS, A. A. ; SANTOS, M. S. . Liouville type results for two-sided hypersurfaces in weighted Killing warped products. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY , v. 49, p. 43-55, 2018.

• ALIAS, L. J. ; LIMA, H. F. ; SANTOS, F. R. . New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. PACIFIC JOURNAL OF MATHEMATICS , v. 292, p. 1-19, 2018.

• De Lima, H.F. ; SANTOS, F. R. ; ARAUJO, J. G. ; Velásquez, M.A.L. . Parabolicity and uniqueness of complete two-sided hypersurfaces immersed in a Riemannian warped product. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2008) , v. 11, p. 363-375, 2018.

• COLARES, A. G. ; LIMA, E. L. ; LIMA, H. F. . Characterizations of complete CMC spacelike hypersurfaces satisfying an Okumura type inequality. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS , v. 56, p. 295-307, 2018.

• LIMA, E. L. ; LIMA, H. F. . A sharp scalar curvature estimate for CMC hypersurfaces satisfying an Okumura type inequality. Annales mathématiques du Québec , v. 42, p. 255-265, 2018.

• LIMA, E. L. ; LIMA, H. F. ; SANTOS, F. R. . On the Stability and Parabolicity of Complete f-Minimal Hypersurfaces in Weighted Warped Products. Results in Mathematics , v. 73, p. 14, 2018.

• ALIAS, L. J. ; De Lima, H.F. ; SANTOS, F. R. . Characterizations of Spacelike Submanifolds with Constant Scalar Curvature in the de Sitter Space. Mediterranean Journal of Mathematics , v. 15, p. 1-22, 2018.

• LIMA, E. L. ; LIMA, H. F. ; LIMA JR, E. A. ; MEDEIROS, A. A. . Parabolicity and rigidity of two-sided hypersurfaces in Killing warped products. Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry , v. 59, p. 453-463, 2018.

• LIMA, E. L. ; LIMA, H. F. . A new optimal estimate for the first stability eigenvalue of closed hypersurfaces in Riemannian space forms. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO (TESTO STAMPATO) , v. 67, p. 533-537, 2018.

• LIMA, E. L. ; LIMA, H. F. . Height estimates and topology at infinity of hypersurfaces immersed in a certain class of warped products. Aequationes Mathematicae , v. 92, p. 737-761, 2018.

• ARAUJO, J. G. ; LIMA, H. F. ; SANTOS, F. R. . Entire solutions of the maximal spacelike hypersurface equation in generalized Robertson-Walker spacetimes. Electronic Journal of Differential Equations , v. 2018, p. 1-14, 2018.

• DA SILVA, JONATAN F. ; DE LIMA, HENRIQUE F. ; Velásquez, M.A.L. . Stable hypersurfaces via the first eigenvalue of the anisotropic Laplacian operator. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE , v. 64, p. 427-436, 2018.

• CUNHA, A. W. ; LIMA, E. L. ; LIMA, H. F. . r -Almost Newton-Ricci solitons immersed into a Riemannian manifold. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , v. 464, p. 546-556, 2018.

• Albujer, A. L. ; OLIVEIRA, A. M. ; LIMA, H. F. ; Velásquez, M.A.L. . $\phi$-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime. Mediterranean Journal of Mathematics , v. 15:84, p. 1-17, 2018.

• LIMA, H. F. ; OLIVEIRA, A. M. ; SANTOS, M. S. . Rigidity of entire graphs in weighted product spaces with nonnegative Bakry-Émery-Ricci tensor. Advances in Geometry , v. 17, p. 53-60, 2017.

• SILVA, J. F. ; LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Upper Bounds for the First Eigenvalue of a Jacobi Type Operator Via Anisotropic Mean Curvatures. Results in Mathematics / Resultate der Mathematik , v. 71, p. 211-224, 2017.

• LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Characterizations of complete spacelike submanifolds in the $$mathbf{(n+p)}$$ ( n + p ) -dimensional anti-de Sitter space of index $$mathbf{q}$$ q. Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas , v. 111, p. 921-930, 2017.

• LIMA, H. F. ; ARAUJO, J. G. ; SANTOS, F. R. ; Velásquez, M.A.L. . Linear Weingarten submanifolds immersed in a space form. Kodai Mathematical Journal , v. 40, p. 214-228, 2017.

• LIMA, H. F. ; Aquino, C.P. ; BATISTA, M. H. . ON THE UMBILICITY OF HYPERSURFACES IN THE HYPERBOLIC SPACE. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY , v. 103, p. 45-58, 2017.

• LIMA, H. F. ; Velásquez, M.A.L. ; SANTOS, F. R. ; Aquino,C.P. . On the first stability eigenvalue of hypersurfaces in the Euclidean and hyperbolic spaces. Quaestiones Mathematicae , v. 40, p. 605-616, 2017.

• LIMA, H. F. ; OLIVEIRA, A. M. ; Velásquez, M.A.L. . On the Uniqueness of Complete Two-Sided Hypersurfaces Immersed in a Class of Weighted Warped Products. JOURNAL OF GEOMETRIC ANALYSIS , p. 2278-2301, 2017.

• LIMA, H. F. ; ARAUJO, J. G. ; SANTOS, F. R. ; Velásquez, M.A.L. . Submanifolds with constant scalar curvature in a space form. Journal of Mathematical Analysis and Applications (Print) , v. 447, p. 488-498, 2017.

• SANTOS, F. R. ; LIMA, H. F. ; Velásquez, M.A.L. . A new characterization of Clifford torus. PUBLICATIONES MATHEMATICAE-DEBRECEN , v. 91, p. 133-142, 2017.

• LIMA, H. F. ; SANTOS, M. S. . Height estimates and half-space type theorems in weighted product spaces with nonnegative Bakry-Émery-Ricci curvature. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE , v. 63, p. 323-332, 2017.

• Albujer, A. L. ; LIMA, H. F. ; OLIVEIRA, A. M. ; Velásquez, M.A.L. . Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes. Differential Geometry and Its Applications , v. 50, p. 140-154, 2017.

• Aquino,C.P. ; LIMA, H. F. ; GOMES, J. N. V. . Characterizations of immersed gradient almost Ricci solitons. PACIFIC JOURNAL OF MATHEMATICS , v. 288, p. 289-305, 2017.

• LIMA, E. L. ; LIMA, H. F. ; LIMA JR, E. A. ; MEDEIROS, A. A. . Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killling warped product. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE (PRINT) , v. 58, p. 183-196, 2017.

• LIMA, H. F. ; SANTOS, F. R. ; CUNHA, A. W. . On the First Strong Stability Eigenvalue of Closed Submanifolds in the Unit Sphere. JOURNAL OF GEOMETRIC ANALYSIS , p. 2557-2569, 2017.

• ARAUJO, J. G. ; De Lima, H.F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold. Extracta Mathematicae , v. 32, p. 55-81, 2017.

• CUNHA, A. W. ; De Lima, H.F. ; SANTOS, F. R. . On the first stability eigenvalue of closed submanifolds in the Euclidean and hyperbolic spaces. Differential Geometry and Its Applications , v. 52, p. 11-19, 2017.

• OLIVEIRA, A. M. ; De Lima, H.F. . ON THE EXISTENCE OF -MAXIMAL SPACELIKE HYPERSURFACES IN CERTAIN WEIGHTED MANIFOLDS. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY , v. 96, p. 317-325, 2017.

• AQUINO, CÍCERO P. ; ARAÚJO, JOGLI G. ; BATISTA, MÁRCIO ; DE LIMA, HENRIQUE F. . Uniqueness of Spacelike Hypersurfaces in a GRW Spacetime via Higher Order Mean Curvatures. Sociedade Brasileira de Matematica. Boletim, Nova Serie , v. 48, p. 45-61, 2017.

• De Lima, H.F. ; OLIVEIRA, A. M. ; SANTOS, M. S. ; Velásquez, M.A.L. . f-stability of spacelike hypersurfaces in weighted spacetimes. ACTA MATHEMATICA HUNGARICA , v. 153, p. 334-349, 2017.

• ARAÚJO, JOGLI G. ; De Lima, H.F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Complete maximal spacelike submanifolds immersed in a locally symmetric semi-Riemannian space. HOUSTON JOURNAL OF MATHEMATICS , v. 43, p. 1099-1110, 2017.

• De Lima, H.F. ; SANTOS, F. R. ; Velásquez, M.A.L. . On the umbilicity of complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space. SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES , v. 11, p. 456-470, 2017.

• De Lima, H.F. ; OLIVEIRA, A. M. ; SANTOS, M. S. ; Velásquez, M.A.L. . Bernstein type results for complete spacelike hypersurfaces immersed in a weighted conformally stationary spacetime. INTERNATIONAL JOURNAL OF MATHEMATICS , v. 28, p. 1750071, 2017.

• Aquino,C.P. ; Baltazar, H. I. ; De Lima, H.F. . A New Calabi-Bernstein Type Result in Spatially Closed Generalized Robertson-Walker Spacetimes. Milan Journal of Mathematics , v. 85, p. 235-245, 2017.

• De Lima, H.F. ; SANTOS, F. R. . Characterizations of linear Weingarten submanifolds. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , v. 164, p. 176-188, 2017.

• CAVALCANTE, M. P. ; LIMA, H. F. ; SANTOS, M. S. . On Bernstein-type properties of complete hypersurfaces in weighted warped products. Annali di Matematica Pura ed Applicata , v. 195, p. 309-322, 2016.

• LIMA, H. F. ; LIMA JR, E. A. . Entire spacelike H-graphs in Lorentzian product spaces. Publicacions Matemàtiques , v. 60, p. 273-287, 2016.

• SILVA, J. F. ; LIMA, H. F. ; VELÁSQUEZ, MARCO ANTONIO L. . Rigidity of complete hypersurfaces in the Euclidean space via anisotropic mean curvatures. Bulletin Brazilian Mathematical Society (Online) , v. 47, p. 971-987, 2016.

• LIMA, H. F. ; OLIVEIRA, A. M. ; SANTOS, M. S. . Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature. Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry , v. 57, p. 623-635, 2016.

• LIMA, H. F. ; SANTOS, F. R. ; GOMES, J. N. V. ; Velásquez, M.A.L. . On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space. Collectanea Mathematica , v. 67, p. 379-397, 2016.

• LIMA, H. F. ; SOUSA, A. F. ; Velásquez, M.A.L. . Strongly stable linear Weingarten hypersurfaces immersed in the hyperbolic space. Mediterranean Journal of Mathematics , v. 13, p. 2147-2160, 2016.

• LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . ON THE GEOMETRY OF TRAPPED AND MARGINALLY TRAPPED SUBMANIFOLDS IN LORENTZIAN SPACE FORMS. Communications in Contemporary Mathematics , v. 18, p. 1550073, 2016.

• ALIAS, L. J. ; LIMA, H. F. ; MELÉNDEZ, J. ; SANTOS, F. R. . Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds. Mathematische Nachrichten , v. 289, p. 1309-1324, 2016.

• Aquino,C.P. ; LIMA, H. F. ; SANTOS, F. R. . On the quadric CMC spacelike hypersurfaces in Lorentzian space forms. Colloquium Mathematicum , v. 145, p. 89-98, 2016.

• DE LIMA, HENRIQUE F. ; DOS SANTOS, FÁBIO R. ; VELÁSQUEZ, MARCO ANTONIO L. . New characterizations of hyperbolic cylinders in semi-Riemannian space forms. Journal of Mathematical Analysis and Applications (Print) , v. 434, p. 765-779, 2016.

• LIMA, H. F. ; SANTOS, F. R. ; GOMES, J. N. V. ; Velásquez, M.A.L. . Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold. Nonlinear Analysis , v. 133, p. 15-27, 2016.

• Aquino, C.P. ; ARAUJO, J. G. ; LIMA, H. F. . Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures. Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry , v. 57, p. 391-405, 2016.

• LIMA, H. F. ; LIMA, E. L. ; LIMA JR, E. A. ; CUNHA, A. W. ; MEDEIROS, A. A. . Bernstein type properties of two-sided hypersurfaces immersed in a Killing warped product. Studia Mathematica , v. 233, p. 183-196, 2016.

• LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. ; SOUSA, A. F. . Optimal upper estimates for the first eigenvalue of a Jacobi type operator in spherical and hyperbolical spaces. Mediterranean Journal of Mathematics , v. 13, p. 3907-3919, 2016.

• LIMA, H. F. ; SANTOS, F. R. ; SOUSA, A. F. ; Velásquez, M.A.L. . Sharp upper estimates for the first eigenvalue of a Jacobi type operator. Extracta Mathematicae , v. 31, p. 69-88, 2016.

• LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Complete spacelike submanifolds with parallel mean curvature vector in a semi-Euclidean space. Acta Mathematica Hungarica (Print) , v. 150, p. 217-227, 2016.

• LIMA, H. F. ; LIMA, E. L. ; SANTOS, F. R. . On the stability of f-maximal spacelike hypersurfaces in weighet generalized Robertson-Walker spacetimes. Bulletin of the Polish Academy of Sciences. Mathematics , v. 64, p. 199-208, 2016.

• DA SILVA, JONATAN F. ; DE LIMA, HENRIQUE F. ; VELÁSQUEZ, MARCO ANTONIO L. . The stability of hypersurfaces revisited. Monatshefte fur Mathematik (Print) , v. 179, p. 293-303, 2016.

• LIMA, H. F. ; SOUSA, A. F. ; Velásquez, M.A.L. . Strong (r, s)-stability in the de Sitter space. Proceedings. Section A. Mathematics , v. 145, p. 91-104, 2015.

• Aquino,C.P. ; LIMA, H. F. ; Velásquez, M.A.L. . LINEAR WEINGARTEN HYPERSURFACES WITH BOUNDED MEAN CURVATURE IN THE HYPERBOLIC SPACE. Glasgow Mathematical Journal (Print) , v. 57, p. 653-663, 2015.

• CAVALCANTE, M. P. A. ; LIMA, H. F. ; SANTOS, M. S. . New Calabi-Bernstein's type results in weighted generalized Robertson-Walker spacetimes. Acta Mathematica Hungarica (Print) , v. 145, p. 440-454, 2015.

• Aquino,C.P. ; LIMA, H. F. ; BEZERRA, K. S. . Complete spacelike hypersurfaces in the de Sitter space with prescribed Gauss map. Communications in Analysis and Geometry , v. 23, p. 671-689, 2015.

• Aquino,C.P. ; LIMA, H. F. ; Velásquez, M.A.L. . On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space. Geometriae Dedicata , v. 174, p. 13-23, 2015.

• GOMES, J. N. V. ; LIMA, H. F. ; Velásquez, M.A.L. . Complete hypersurfaces with two distinct principal curvatures in a space form. Results in Mathematics / Resultate der Mathematik , v. 67, p. 457-470, 2015.

• Aquino, C.P. ; LIMA, H. F. ; Velásquez, M.A.L. . Characterizations of linear Weingarten spacelike hypersurfaces in Lorentz space forms. The Rocky Mountain Journal of Mathematics , v. 45, p. 13-27, 2015.

• DE LIMA, HENRIQUE F. ; DE LIMA, JOSEILSON R. ; VELÁSQUEZ, MARCO ANTONIO L. . Entire Conformal Killing Graphs in Foliated Riemannian Spaces. Journal of Geometric Analysis , v. 25, p. 171-188, 2015.

• Aquino, C.P. ; LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . Characterizations of Spacelike Hyperplanes in the Steady State Space via Generalized Maximum Principles. Milan Journal of Mathematics (Printed ed.) , p. 199-209, 2015.

• ALIAS, L. J. ; COLARES, A. G. ; LIMA, H. F. . Uniqueness of entire graphs in warped products. Journal of Mathematical Analysis and Applications (Print) , v. 430, p. 60-75, 2015.

• Aquino,C.P. ; LIMA, H. F. ; LIMA JR, E. A. . Complete CMC spacelike hypersurfaces immersed in a Lorentzian product space. Archiv der Mathematik (Printed ed.) , p. 577-587, 2015.

• Aquino,C.P. ; LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds. Commentationes Mathematicae Universitatis Carolinae (Print) , v. 56, p. 515-529, 2015.

• LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . On the geometry of complete submanifolds immersed in the hyperbolic space. Bulletin of the Belgian Mathematical Society Simon Stevin , v. 22, p. 707-713, 2015.

• LIMA, H. F. ; OLIVEIRA, A. M. . Moser-type results in Riemannian product spaces. Comptes Rendus. Mathématique , p. 1017-1021, 2015.

• Aquino, C.P. ; LIMA, H. F. . New characterizations of linear Weingarten hypersurfaces immersed in the hyperbolic space. Archivum Mathematicum (On-line) , v. 51, p. 201-209, 2015.

• AQUINO, CÍCERO P. ; DE LIMA, HENRIQUE F. ; DOS SANTOS, FÁBIO R. ; VELÁSQUEZ, MARCO ANTONIO L. . Spacelike hypersurfaces with constant rth mean curvature in steady state type spacetimes. Journal of Geometry , v. 106, p. 85-96, 2015.

• LIMA, H. F. . Complete linear Weingarten hypersurfaces immersed in the hyperbolic space. Journal of the Mathematical Society of Japan , v. 66, p. 415-423, 2014.

• LIMA, H. F. ; Aquino, C.P. . On the unicity of complete hypersurfaces immersed in a semi-Riemannian warped product. The Journal of Geometric Analysis , v. 24, p. 1126-1143, 2014.

• Aquino, C.P. ; BARROS, A. A. ; LIMA, H. F. . On the rigidity of hypersurfaces into space forms. Annali di Matematica Pura ed Applicata , v. 193, p. 689-698, 2014.

• LIMA, H. F. . Entire vertical graphs in Riemannian product spaces. Quaestiones Mathematicae (Grahamstown. Print) , v. 37, p. 321-329, 2014.

• Aquino, C.P. ; LIMA, H. F. . On the geometry of horospheres. Commentarii Mathematici Helvetici (Printed ed.) , v. 89, p. 617-629, 2014.

• LIMA, H. F. ; Aquino, C.P. ; BARROS, A. A. . Complete CMC hypersurfaces in the hyperbolic space with prescribed Gauss mapping. Proceedings of the American Mathematical Society , v. 142, p. 3597-3604, 2014.

• LIMA, H. F. ; LIMA JR, E. A. . Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space. Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry , v. 55, p. 59-75, 2014.

• LIMA, H. F. ; de Lima, J. R. ; Velásquez, M.A.L. . On the nullity of conformal Killing graphs in foliated Riemannian spaces. Aequationes Mathematicae (Print) , v. 87, p. 285-299, 2014.

• LIMA, H. F. ; Velásquez, M.A.L. . On the totally geodesic spacelike hypersurfaces in conformally stationary spacetimes. Osaka Journal of Mathematics , v. 51, p. 1027-1052, 2014.

• LIMA, H. F. ; Velásquez, M.A.L. . Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime. Mathematische Nachrichten , p. n/a-n/a, 2014.

• LIMA, H. F. ; Aquino, C.P. ; Velásquez, M.A.L. . Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms. The Michigan Mathematical Journal , v. 63, p. 27-40, 2014.

• DE LIMA, HENRIQUE ; Aquino, C.P. ; LIMA JR, E. A. . On the angle of complete CMC hypersurfaces in Riemannian product spaces. Differential Geometry and Its Applications , v. 33, p. 139-148, 2014.

• LIMA, H. F. ; LIMA JR, E. A. ; PARENTE, U. L. . HYPERSURFACES WITH PRESCRIBED ANGLE FUNCTION. Pacific Journal of Mathematics , v. 269, p. 393-406, 2014.

• Aquino,C.P. ; LIMA, H. F. ; Velásquez, M.A.L. . Characterizations of linear Weingarten spacelike hypersurfaces in locally symmetric Lorentz spaces. Matematica Contemporanea , v. 43, p. 17-36, 2014.

• GOMES, J. N. V. ; LIMA, H. F. ; SANTOS, F. R. ; Velásquez, M.A.L. . On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms. Journal of Mathematical Analysis and Applications (Print) , p. 248-263, 2014.

• Aquino,C.P. ; LIMA, H. F. . On the umbilicity of complete constant mean curvature spacelike hypersurfaces. Mathematische Annalen , v. 360, p. 555-569, 2014.

• LIMA, H. F. ; PARENTE, U. L. . On the geometry of maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Annali di Matematica Pura ed Applicata , v. 192, p. 649-663, 2013.

• LIMA, H. F. . Rigidity theorems in the hyperbolic space. Bulletin of the Korean Mathematical Society , v. 50, p. 97-103, 2013.

• LIMA, H. F. ; de Lima, J. R. . Complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space. Results in Mathematics / Resultate der Mathematik , v. 63, p. 865-876, 2013.

• LIMA, H. F. ; de Lima, J. R. . CHARACTERIZATIONS OF LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN EINSTEIN SPACETIMES. Glasgow Mathematical Journal (Print) , v. 55, p. 567-579, 2013.

• Aquino,C.P. ; LIMA, H. F. ; Velásquez, M.A.L. . A new characterization of complete linear Weingarten hypersurfaces in real space forms. Pacific Journal of Mathematics , v. 261, p. 33-43, 2013.

• LIMA, H. F. ; Velásquez, M.A.L. . On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space. Bulletin Brazilian Mathematical Society (Impresso) , v. 44, p. 49-65, 2013.

• ALIAS, L. J. ; COLARES, A. G. ; LIMA, H. F. . On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Bulletin Brazilian Mathematical Society (Impresso) , v. 44, p. 195-217, 2013.

• Aquino, C.P. ; LIMA, H. F. . On the geometry of linear Weingarten hypersurfaces in the hyperbolic space. Monatshefte fur Mathematik (Print) , v. 171, p. 259-268, 2013.

• LIMA, H. F. ; Velásquez, M.A.L. ; SOUSA, A. F. . On the stability of hypersurfaces in space forms. Journal of Mathematical Analysis and Applications (Print) , v. 2013, p. 147-157, 2013.

• LIMA, H. F. ; SOUSA, A. F. ; Velásquez, M.A.L. . Stability of spacelike hypersurfaces with higher order mean curvature linearly related in conformally stationary spacetimes. International Journal of Mathematics , v. 24, p. 131213222202000, 2013.

• LIMA, H. F. ; CAMARGO, F. E. C. ; Caminha, A. ; Velásquez, M.A.L. . On the geometry of conformally stationary Lorentz spaces. Acta Mathematica Hungarica (Print) , v. 134, p. 385-403, 2012.

• COLARES, A. GERVASIO ; LIMA, H. F. . On the rigidity of spacelike hypersurfaces immersed in the steady state space mathcal H^{n+1}. Publicationes Mathematicae (Debrecen) , v. 81, p. 103-119, 2012.

• Aquino,C.P. ; LIMA, H. F. . Uniqueness of complete hypersurfaces with bounded higher order mean curvature in semi-Riemannian warped products. Glasgow Mathematical Journal (Print) , v. 54, p. 201-212, 2012.

• LIMA, H. F. ; PARENTE, U. L. . A Bernstein type theorem in $\mathbb R\times\mathbb H^n$. Bulletin of the Brazilian Mathematical Society , v. 43, p. 17-26, 2012.

• Aquino,C.P. ; LIMA, H. F. . On the Gauss map of complete CMC hypersurfaces in the hyperbolic space. Journal of Mathematical Analysis and Applications (Print) , v. 386, p. 862-869, 2012.

• COLARES, A. G. ; LIMA, H. F. . Some rigidity theorems in semi-Riemannian warped products. Kodai Mathematical Journal , v. 35, p. 267-281, 2012.

• LIMA, H. F. ; de Lima, J. R. . Complete hypersurfaces immersed in a semi-Riemannian warped product. Differential Geometry and Its Applications , v. 30, p. 136-143, 2012.

• CAMARGO, F. E. C. ; Caminha, A. ; LIMA, H. F. ; PARENTE, U. L. . Generalized maximum principles and the rigidity of complete spacelike hypersurfaces. Mathematical Proceedings of the Cambridge Philosophical Society (Print) , v. 153, p. 541-556, 2012.

• LIMA, H. F. . On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Journal of Geometry , v. 103, p. 219-229, 2012.

• LIMA, H. F. ; CAMARGO, F. E. C. ; Caminha, A. . Bernstein-type theorems in semi-Riemannian warped products. Proceedings of the American Mathematical Society , v. 139, p. 1841-1850, 2011.

• LIMA, H. F. . On the Gauss map of complete spacelike hypersurfaces with bounded mean curvature in the Minkowski space. Bulletin of the Belgian Mathematical Society Simon Stevin , v. 18, p. 537-541, 2011.

• LIMA, H. F. ; Velásquez, M.A.L. . A New Characterization of r-Stable Hypersurfaces in Space Forms. Archivum Mathematicum (Print) , v. 47, p. 119-131, 2011.

• LIMA, H. F. ; CAMARGO, F. E. C. ; Caminha, A. ; Velásquez, M.A.L. . r-Stable Hypersurfaces in Conformally Stationary Spacetimes. Kodai Mathematical Journal , v. 34, p. 339-351, 2011.

• Aquino, C.P. ; LIMA, H. F. . On the rigidity of constant mean curvature complete vertical graphs in warped products. Differential Geometry and Its Applications , p. 590-596, 2011.

• Albujer, A. L. ; CAMARGO, F. E. C. ; LIMA, H. F. . Complete Spacelike Hypersurfaces in a Robertson-Walker Spacetime. Mathematical Proceedings of the Cambridge Philosophical Society (Print) , v. 151, p. 271-282, 2011.

• Aquino,C.P. ; LIMA, H. F. ; Velásquez, M.A.L. . Some characterizations of Euclidean domains in the steady state and hyperbolic spaces. Matematica Contemporanea , v. 40, p. 1-16, 2011.

• COLARES, A. G. ; LIMA, H. F. . Spacelike Hypersurfaces with Constant Mean Curvature in the Steady State Space. Bulletin of the Belgian Mathematical Society Simon Stevin , v. 17, p. 287-302, 2010.

• LIMA, H. F. ; CAMARGO, F. E. C. ; Albujer, A. L. . Complete Spacelike Hypersurfaces with Constant Mean Curvature in $-\mathbb R\times\mathbb H^n$. Journal of Mathematical Analysis and Applications (Print) , v. 368, p. 650-657, 2010.

• LIMA, H. F. ; CAMARGO, F. E. C. . New characterizations of totally geodesic spacelike hypersurfaces in anti-de Sitter space $\mathbb H_1^{n+1}$. Journal of Geometry and Physics , v. 60, p. 1326-1332, 2010.

• CAMARGO, F. E. C. ; Caminha, A. ; LIMA, H. F. ; SILVA, M. F. . On the r-Stability of Spacelike Hypersurfaces. Journal of Geometry and Physics , v. 60, p. 1402-1410, 2010.

• LIMA, H. F. . A Xin-Aiyama type theorem for spacelike hypersurfaces in $-\mathbb R\times\mathbb H^n$. Journal of Mathematical Sciences: Advances and Applications , v. 5, p. 133-148, 2010.

• Caminha, A. ; LIMA, H. F. . Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products. Bulletin of the Belgian Mathematical Society Simon Stevin , v. 16, p. 91-105, 2009.

• Caminha, A. ; LIMA, H. F. . Complete Spacelike Hypersurfaces in Conformally Stationary Lorentz Manifolds. General Relativity and Gravitation , v. 41, p. 173-189, 2009.

• LIMA, H. F. ; de Lima, J. R. . Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Anti-de Sitter Space. International Journal of Mathematics and Mathematical Sciences , v. 2009, p. 1-12, 2009.

• LIMA, H. F. . A sharp height estimate for compact spacelike hypersurfaces with constant r-mean curvature in the Lorentz-Minkowski space. Differential Geometry and Its Applications , v. 26, p. 445-455, 2008.

• COLARES, A. G. ; LIMA, H. F. . Spacelike Hypersurfaces with Positive Constant r-Mean Curvature in Lorentzian Product Spaces. General Relativity and Gravitation , v. 40, p. 2131-2147, 2008.

• LIMA, H. F. . Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space. Journal of Geometry and Physics , v. 57, p. 967-975, 2007.

• Caminha, A. ; LIMA, H. F. . A Generelized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space. In: M. Plaue, M. Scherfner. (Org.). Advances in Lorentzian Geometry. 1ed.Aachen: Shaker Verlag, 2008, v. 1, p. 7-19.

• COLARES, A. G. ; LIMA, H. F. . Height Estimates for r-Mean Curvature Spacelike Hypersurfaces in Product Spaces.. In: V International Meeting on Lorentzian Geometry, 2009, Bari. ABSTRCTS-V International Meeting on Lorentzian Geometry. Bari, Italy : Dipartimento di Matematica - Università deghi Studi di Bari, 2009. Bari: Dipartimento di Matematica - Università deghi Studi di Bari, 2009. v. Unico. p. 22-22.

• LIMA, H. F. . O PROBLEMA DA INTERPOLAÇÃO POLINOMIAL E O POLINÔMIO INTERPOLADOR DE LAGRANGE. In: XVII ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À PESQUISA, 1998, Fortaleza. Anais do XVII ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À PESQUISA da UFC, 1998.

• LIMA, H. F. . O PROBLEMA DA INTERPOLAÇÃO POLINOMIAL E O POLINÔMIO INTERPOLADOR DE LAGRANGE. In: XVII ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À PESQUISA DA UFC, 1998, Fortaleza. Anais do XVII Encontro Universitário de Iniciação à Pesquisa da UFC, 1998.

• LIMA, H. F. . RESOLUÇÃO DE SISTEMAS DE EQUAÇÕES LINEARES PELO MÉTODO DA DECOMPOSIÇÃO LU - APLICAÇÃO EM BORLAND C++ 3.1 FOR WINDOWS. In: XVI ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À PESQUISA DA UFC, 1997, Fortaleza. ANAIS Do XVI ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO CIENTÍFICA DA UFC, 1997.

• LIMA, H. F. . UMA NOVA PROPOSTA PARA O ENSINO DE MATEMÁTICA NO SECUNDÁRIO - APLICAÇÃO AO ENSINO DAS EQUAÇÕES QUADRÁTICAS. In: XVI ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À DOCÊNCIA DA UFC, 1997, Fortaleza. Anais do XVI Encontro Universitário de Iniciação à Docência da UFC, 1997.

• LIMA, H. F. . O MODELO CARTESIANO - APLICAÇÕES NO ENSINO SECUNDÁRIO. In: V ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À DOCÊNCIA DA UFC, 1996, Fortaleza. Anais do V Encontro Universitário de Iniciação à Docência da UFC, 1996.

• LIMA, H. F. . ROTAÇÕES NO ESPAÇO EUCLIDIANO TRIDIMENSIONAL UTILIZANDO MATRIZES E QUATÉRNIOS REAIS - APLICAÇÃO EM LINGUAGEM PASCAL. In: XV ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À PESQUISA DA UFC, 1996. Anais do XV Encontro Universitário de Iniciação à Pesquisa da UFC, 1996.

• LIMA, H. F. . ALGUMAS APLICAÇÕES DE FRAÇÕES CONTÍNUAS FINITAS E INFINITAS. In: XV ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À PESQUISA DA UFC, 1996, Fortaleza. Anais do XV Encontro Universitário de Iniciação à Pesquisa da UFC, 1996.

• LIMA, H. F. . COORDENADAS POLARES - APLICAÇÕES NO MATLAB. In: XIV ENCONTRO UNIVERSITÁRIO DE INICIAÇÃO À PESQUISA DA UFC, 1995, Fortaleza. Anais do XIV Encontro Universitário de Iniciação à Pesquisa da UFC, 1995.

• ARAUJO, J. G. ; De Lima, H.F. ; GOMES, W. F. . On the mean curvature flow solitons in Riemannian spaces endowed with a Killing vector field. European Journal Of Mathematics , 2024.

• CUNHA, A. W. ; LIMA, E. L. ; De Lima, H.F. . Applications of certain maximum principles to gradient $k$-Yamabe solitons. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2008) , 2024.

• CUNHA, A. W. ; LIMA, E. L. ; De Lima, H.F. ; MAETA, S. . Revisiting gradient conformal solitons. Advances in Geometry , 2024.

• RAMALHO, A. F. ; De Lima, H.F. ; Velásquez, M.A.L. . Riemannian domains and complete spacelike hypersurfaces with one end in steady state type spacetimes. COLLOQUIUM MATHEMATICUM , 2024.

• De Lima, H.F. ; SANTOS, M. S. ; Velásquez, M.A.L. . Mean curvature flow solitons in warped products: Nonexistence, rigidity and stability. Rendiconti del Circolo Matematico di Palermo , 2024.

• BATISTA, M. H. ; BISCI, G. M. ; De Lima, H.F. ; GOMES, W. F. . Nonexistence of mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products. ADVANCES IN NONLINEAR ANALYSIS , 2024.

• BISCI, G. M. ; De Lima, H.F. ; LEITE, A. V. F. ; Velásquez, M.A.L. . Uniqueness and nonexistence of spacelike translating solitons in GRW spacetimes. Discrete and Continuous Dynamical Systems-Series S , 2024.

• COLARES, A. G. ; De Lima, H.F. ; ROCHA, L. S. . Umbilicity of complete LW spacelike hypersurfaces immersed in certain Einstein spacetimes. Mediterranean Journal of Mathematics , 2024.

• Velásquez, M.A.L. ; De Lima, H.F. ; LACERDA, J. H. H. . Half-space results for generalized linear Weingarten hypersurfaces immersed in the real projective space. Boletin De La Sociedad Matematica Mexicana , 2024.

• ARAUJO, J. G. ; LIMA, E. L. ; De Lima, H.F. . Sharp bounds for the norm of the traceless second fundamental form of complete linear Weingarten spacelike hypersurfaces. ARCHIV DER MATHEMATIK , 2024.

• LEITE, A. V. F. ; De Lima, H.F. ; Velásquez, M.A.L. . On the behavior at infinity of complete spacelike hypersurfaces in a Lorentzian space form. Journal of Geometry , 2024.

• LIMA, E. L. ; De Lima, H.F. ; ROCHA, L. S. . Revisiting linear Weingarten hypersurfaces immersed in a locally symmetric Riemannian manifold. European Journal Of Mathematics , 2023.

• BARBOZA, W. F. C. ; De Lima, H.F. ; Velásquez, M.A.L. . Stochastically complete, parabolic and L^1-Liouville spacelike submanifolds with parallel mean curvature vector. Potential Analysis , 2023.

• ARAUJO, J. G. ; De Lima, H.F. ; GOMES, W. F. . Spacelike mean curvature flow solitons in standard static spacetimes and new Calabi-Bernstein type results. Ricerche di Matematica , 2023.

• SILVA, R. A. ; De Lima, H.F. ; SANTOS, M. S. . Characterizing linear Weingarten submanifolds in a Riemannian space form via L-parabolicity. PUBLICATIONES MATHEMATICAE-DEBRECEN , 2023.

• Velásquez, M.A.L. ; De Lima, H.F. ; LACERDA, J. H. H. . Some half-space theorems in the real projective space. SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES , 2023.

• SILVA, R. A. ; BISCI, G. M. ; De Lima, H.F. ; SANTOS, M. S. . Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs. Asymptotic Analysis , 2023.

• BARBOZA, W. F. C. ; De Lima, H.F. ; Velásquez, M.A.L. . Spacelike submanifolds with parallel mean curvature vector in the de Sitter space: Characterizations and gaps. Rendiconti del Circolo Matematico di Palermo , 2023.

• De Lima, H.F. ; SANTOS, F. R. ; ROCHA, L. S. . Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces. Annales Polonici Mathematici , 2023.

• SILVA, R. A. ; De Lima, H.F. ; SANTOS, M. S. . Rigidity and nonexistence of Riemannian immersions in semi-Riemannian warped products via parabolicity. Journal Of The Korean Mathematical Society , 2023.

• Caminha, A. ; LIMA, H. F. . Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds. 2008. (Apresentação de Trabalho/Conferência ou palestra).

• LIMA, H. F. ; Caminha, A. . Gráficos verticais completos imersos num produto warped semi-Riemanniano. 2007. (Apresentação de Trabalho/Conferência ou palestra).

• LIMA, H. F. . Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space. 2006. (Apresentação de Trabalho/Comunicação).

• LIMA, H. F. . A Sharp Height Estimate for Compact Spacelike Hypersurfaces in the Lorentz-Minkowski Space. 2006. (Apresentação de Trabalho/Conferência ou palestra).

• LIMA, H. F. ; Caminha, A. . COMPLETE VERTICAL GRAPHS WITH CONSTANT MEAN CURVATURE IN SEMI-RIEMANNIAN WARPED PRODUCTS. 2006. (Apresentação de Trabalho/Outra).

• Aquino, C.P. ; De Lima, H.F. . A Simpler Proof of the Characterization of Quadric CMC Hypersurfaces in Sn+1. Westlake, Los Angeles: Research and Reports on Mathematics, a SciTechnol journal, 2017 (Short Communication).

Projetos de pesquisa

• 2008 - Atual

  Propriedades das Curvaturas de Ordem Superior de Hipersuperfícies Tipo-Espaço, Descrição: Nosso propósito é estudar as propriedades das curvaturas de ordem superior de hipersuperfícies tipo-espaço imersas num determinado espaço-tempo, como por exemplo, determinar a relação entre curvaturas de ordem superior e geometria do bordo (no caso compacto). Como conseqüência desta relação, prescrita uma certa curvatura de ordem superior, vislumbra-se poder classificar aquelas hipersuperfícies tipo-espaço que possuam um determinado tipo de simetria em seu bordo. Já no caso completo, novamente via estudo das curvaturas de ordem superior, pretende-se extrair propriedades tipo-Bernstein de tais hipersuperfícies e, conseqüentemente, obter resultados sobre a rigidez das mesmas.. , Situação: Em andamento; Natureza: Pesquisa. , Integrantes: Henrique Fernandes de Lima - Coordenador., Financiador(es): Fundação de Apoio à Pesquisa do Estado da Paraíba - Auxílio financeiro / Conselho Nacional de Desenvolvimento Científico e Tecnológico - Auxílio financeiro.

• 2008 - Atual

  Imersões Isométricas em Ambientes Semi-Riemannianos, Descrição: Nós procuramos estudar as propriedades de curvaturas médias de ordem superior de hipersuperfícies tipo-espaço imersar em uma variedade Lorentz. No caso compacto nós tentamos determinar em que medida tais curvaturas refletem a geometria do bordo; um problema correlato é tentar classificar hipersuperfícies tipo-espaço compactas com uma curvatura média de ordem superior constante, uma vez que o bordo possua alguma simetria. No caso completo, nós procuramos entender as propriedades tipo-Bernstein das hipersurperfícies, novamente sob condições apropriadas de curvatura e/ou topologia (e.g., mergulhada, propriamente mergulhada, flat no infinito, etc.). Noss interesse em tais problemas deve-se a suas raízes físicas, notadamente na Teoria da Relatividade Geral; por exemplo, espaços-tempo de Robertson-Walker generalizados constituem modelos cosmológicos do Universo, ao passo que suas hipersuperfícies CMC tipo-espaço servem de dados iniciais para o problema de Cauchy para as equações de Einstein, bem como para o estudo da propagação de radiação gravitacional. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Mestrado acadêmico: (3) Doutorado: (1) . , Integrantes: Henrique Fernandes de Lima - Integrante / Antonio Caminha - Coordenador / Fernanda Ester Camillo Camargo - Integrante / Paulo Alexandre Araújo Sousa - Integrante / Francisco José de Andrade - Integrante., Financiador(es): Conselho Nacional de Desenvolvimento Científico e Tecnológico - Auxílio financeiro.

• 2007 - 2008

  Propriedades das Curvaturas de Ordem Superior de Hipersuperfícies Riemannianas Imersas em Ambientes Semi-Riemannianos, Descrição: Nosso propósito é estudar as propriedades das curvaturas de ordem superior de hipersuperfícies Riemannianas imersas em ambientes semi-Riemannianos. Nosso interesse neste tipo de problema se justifica por suas raízes físicas, calcadas na Teoria da Relatividade Geral. Por exemplo, o espaço-tempo de Robertson-Walker Generalizado se constitui como um modelo cosmológico fundamental do Universo, ao passo que hipersuperfícies tipo-espaço com curvatura média constante de tal espaço funcionam como dados iniciais para o problema de Cauchy correspondente às equações de Einstein, bem como para o estudo da propagação da radiação gravitacional.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Henrique Fernandes de Lima - Integrante / Antonio Caminha - Integrante / Antonio Gervásio Colares - Coordenador / Jorge Herbert Soares de Lira - Integrante / Fernanda Ester Camillo Camargo - Integrante / Márcio Fabiano da Silva - Integrante / Paulo Alexandre Araújo Sousa - Integrante.

Prêmios