Luis Jose Alias Linares

Soy Catedrático de Universidad en el área de Geometría y Topología del Departamento de Matemáticas de la Universidad de Murcia desde mayo de 2004 y Académico Numerario de la Academia de Ciencias de la Región de Murcia desde noviembre de 2017. Obtuve el Título de Licenciado en Ciencias Matemáticas por la Universidad de Murcia en junio de 1990 con la calificación de Matrícula de Honor y Premio Extraordinario de Licenciatura, así como el Primer Premio Nacional de Terminación de Estudios Universitarios en Ciencias Matemáticas, otorgado por el Ministerio de Educación y Ciencia en octubre de 1991. Posteriormente obtuve el Grado de Doctor en Ciencias Matemáticas por la Universidad de Murcia en febrero de 1994 con la calificación de Premio Extraordinario de Doctorado y bajo la dirección de los Profesores Ángel Ferrández Izquierdo y Pascual Lucas Saorín, quienes me introdujeron en el mundo de la investigación en Geometría Diferencial y, en particular, en la Teoría de Subvariedades y la Geometría Riemanniana y Lorentziana. Durante mi periodo predoctoral como Becario de F.P.I., completé mi formación en la Universidad de Granada trabajando bajo la dirección de los Profesores Alfonso Romero Sarabia y Miguel Sánchez Caja, con quienes comencé a trabajar en el estudio global de hipersuperficies maximales y, más generalmente, de hipersuperficies espaciales de curvatura media constante (CMC) y problemas tipo Bernstein. Más tarde realicé mi etapa de formación posdoctoral en la University of Durham (Reino Unido) como Becario Posdoctoral de F.P.I. y bajo la dirección del Profesor Bennett Palmer, con quien comencé a trabajar en el estudio de superficies de Willmore y superficies de CMC, para incorporarme posteriormente como Profesor Titular de la Universidad de Murcia en diciembre de 1996. Como reconocimiento a mi trayectoria investigadora, recibí el Primer Premio Jóvenes Investigadores de la Región de Murcia 2002, concedido por la Consejería de Ciencia y Tecnología de la Región de Murcia en marzo de 2003. Mi trayectoria investigadora incluye una destacada actividad internacional, habiendo sido profesor visitante en diversas universidades y centros de investigación, tanto nacionales como extranjeros, entre los que podemos destacar la Universidad de Granada, el Instituto Nacional de Matemática Pura e Aplicada (Brasil), la Universidade Federal do Ceará (Brasil), Fukuoka University (Japón), Korea Institute for Advanced Study (Corea del Sur), Institut des Hautes Études Scientifiques (Francia), Université François Rabelais de Tours (Francia), Universitá degli Studi di Milano (Italia), Universidad Nacional Autónoma de México, etc... Gracias a ello, he tenido la suerte de poder trabajar con diversos matemáticos de reconocido prestigio, tanto a nivel nacional como internacional, y establecer una fructífera red de colaboración científica con investigadores de mi área de diferentes países. Soy un enamorado de la docencia, la divulgacion y la investigacion. En este ultimo campo destaca mi produccion cientifica, con mas de un centenar de articulos de investigacion publicados en revistas internacionales de reconocido prestigio en diversos campos como la Geometria de Subvariedades y el Analisis Geometrico. He sido conferenciante invitado en numerosos congresos y reuniones cientificas internacionales y he dirigido hasta la fecha 7 Tesis Doctorales y 11 Tesis de Master. Mi investigacion se desarrolla en el seno del Grupo de Excelencia de la Region de Murcia ?Geometria Diferencial y Convexa?, del cual soy su Investigador Principal.

Informações coletadas do Lattes em 21/08/2023

Acadêmico

Formação acadêmica

Doutorado em Doctorado en Matematica

1990 - 1994

Universidad de Murcia
Título: Caracterizacion y clasificacion de hipersuperficies pseudo-riemannianas en espacios de curvatura constante
Orientador: Angel Ferrandez Izquierdo
Bolsista do(a): Ministerio de Educacion y Ciencia, MEC, Espanha. Palavras-chave: Hipersuperficies.

Mestrado em Matematicas

1990 - 1991

Universidad de Murcia
Título: Caracterizacion y clasificacion de superficies en el espacio de Lorentz-Minkowski, Ano de Obtenção: 1991
Orientador: Angel Ferrandez Izquierdo
Bolsista do(a): Ministerio de Educacion y Ciencia, MEC, Espanha.

Graduação em Matematicas

1985 - 1990

Universidad de Murcia

Pós-doutorado

1994 - 1995

Pós-Doutorado. , Durham University, DURHAM, Inglaterra. , Bolsista do(a): Ministerio de Educacion y Ciencia, MEC, Espanha.

Idiomas

Inglês

Compreende Bem, Fala Razoavelmente, Lê Bem, Escreve Bem.

Espanhol

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Português

Compreende Razoavelmente, Fala Razoavelmente, Lê Razoavelmente, Escreve Pouco.

Francês

Compreende Razoavelmente, Fala Razoavelmente, Lê Razoavelmente, Escreve Pouco.

Áreas de atuação

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Geometria e Topologia/Especialidade: Geometria Diferencial.

Organização de eventos

ALÍAS, LUIS J . IIJointMeetingSpain-BrazilinMathematicsRSME-SEMA-SBM-SBMAC. 2018. (Congresso).

ALÍAS, LUIS J. . Third Japanese-Spanish workshop on Differential Geometry. 2017. (Congresso).

ALÍAS, LUIS J . Conférence en hommage a Ahmad El Soufi. 2017. (Congresso).

ALÍAS, LUIS J. ; A. FERRANDEZ . I Coloquio de Geometría en el Sur+Este. 2016. (Congresso).

ALÍAS, LUIS J. . International Workshop on Theory of Submanifolds. 2016. (Congresso).

Alias, Luis J. ; M. SANCHEZ ; RIO, E. G. . Sesión de Geometría Diferencial y Aplicaciones. Congreso de la Real Sociedad Matemática Espaola. 2015. (Congresso).

Alias, Luis J. . III Congreso conjunto de la Real Sociedad Matemática Espaola y la Sociedad Matemática Mexicana. 2014. (Congresso).

Alias, Luis J. . Second Japanese-Spanish Workshop on Differential Geometry. 2014. (Congresso).

Alias, Luis J. . International Workshop on Finite Type Submanifolds. 2014. (Congresso).

Alias, Luis J. ; A. FERRANDEZ . Jornada de Geometría en honor del Prof. Do Carmo. 2012. (Congresso).

Alias, Luis J. . Conference on Pure and Applied Differential Geometry PADGE 2012. 2012. (Congresso).

Alias, Luis J. . 2nd European Young and Mobile Workshop EUYAM2011, Geometric Analysis and Partial Differential Equations. 2011. (Congresso).

Alias, Luis J. . Congreso de la Real Sociedad Matemática Espaola. 2009. (Congresso).

Alias, Luis J. . International Research School on Differential Geometry and Symmetry. 2009. (Outro).

Alias, Luis J. . Workshop on Differential Geometry and Submanifolds. 2008. (Congresso).

Alias, Luis J. . IV Encuentro Internacional de Geometría de Lorentz. 2007. (Congresso).

Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS . XII Fall Workshop on Geometry and Physics. 2004. (Congresso).

Alias, Luis J. ; G. GALLOWAY . First Joint Meeting between the AMS and the RSME. Special Session on Lorentzian Geometry and Mathematical Relativity. 2003. (Congresso).

Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS . II International Meeting on Lorentzian Geometry. 2003. (Congresso).

Participação em eventos

1a Escuela Nacional de Geometría Diferencial. Geometría de hipersuperficies con curvatura constante. 2019. (Congresso).

32 Coloquio Brasileiro de Matemática, Sesión de Geometría Diferencial. Trapped submanifolds into the lightcone. 2019. (Congresso).

Geometric and Functional Analysis Seminar.Trapped submanifolds in de Sitter space. 2019. (Seminário).

Recent Trends in Geometric Analysis and Applications. Trapped submanifolds into the lightcone. 2019. (Congresso).

Séminaire de Géométrie, Université François Rabelais.The principal curvature theorem and its applications to constant mean curvature hypersurfaces in Euclidean space. 2019. (Seminário).

Seminario de Geometría Diferencial y Topología, Universidad de Sevilla.Subvariedades atrapadas en el espaciotiempo de deSitter. 2019. (Seminário).

Workshop on Submanifold Theory and Geometric Analysis. The principal curvature theorem and its applications to constant mean curvature hypersurfaces in Euclidean space. 2019. (Congresso).

IX International Meeting on Lorentzian Geometry. Trapped submanifolds in de Sitter space. 2018. (Congresso).

Seminario de Ecuaciones Diferenciales y Geometría de la Universidad Autónoma Metropolitana.Subvariedades atrapadas en el espaciotiempo de deSitter. 2018. (Seminário).

Seminario del Departamento de Matemáticas, Universidad Nacional Autónoma de México.Subvariedades atrapadas en el espacio-tiempo de Sitter. 2018. (Seminário).

XX School of Differential Geometry (Escola Brasileira de Geometria Diferencial). Trapped submanifolds in de Sitter space. 2018. (Congresso).

Séminaire de Géométrie. Institut de Mathématiques de Jussieu, Paris Rive Gauche (IMJ-PRG).Trapped submanifolds in de Sitter space. 2017. (Seminário).

Fourth Colloquium on Dynamical Systems, Control and Applications (DySCA IV). Maximum principle and geometric applications. 2016. (Congresso).

Séminaire de Géométrie. Université de Tours.Trapped submanifolds in de Sitter space. 2016. (Seminário).

Séminaire de Géométrie. Université de Tours.Maximum principles and geometric applications. 2016. (Seminário).

Seminario de Geometría y Topología. Universidad Complutense de de Madrid.Maximum principles and geometric applications. 2016. (Seminário).

30 Coloquio Brasileiro de Matematica. Geometric analysis of the Lorentzian distance function. 2015. (Congresso).

First Joint Meeting Brazil-Spain in Mathematics. Maximum principle and geometric applications. 2015. (Congresso).

Seminario de Geometría. IEMath-Granada.Análisis geométrico de la distancia lorentziana en subvariedades marginalmente atrapadas.. 2015. (Seminário).

Seminario de Geometría Diferencial. IMPA.Geometric analysis of Lorentzian distance on trapped submanifolds. 2015. (Seminário).

5th Iberian Mathematical Meeting SPM-RSME. Geometric analysis of the Lorentzian distance function on trapped submanifolds. 2014. (Congresso).

Colloquium UAM-ICMAT 2014.Maximum principles and geometric applications. 2014. (Seminário).

Festival Internacional de la Cultura Maya. Arqueología matemática. La matemática maya y los sistemas de numeración.. 2014. (Congresso).

Seminario de Geometría. Universidade Federal de Campina Grande.Maximum principles and geometric applications. 2014. (Seminário).

Seminario de Geometría. Universidade Federal do Ceará.Geometric analysis of Lorentzian distance function on trapped submanifolds. 2014. (Seminário).

Seminario de Geometría Diferencial. Universidad Autónoma de Yucatán.Geometric analysis of Lorentzian distance function on trapped submanifolds. 2014. (Seminário).

Congreso Bienal de la RSME 2013. Una forma general del principio del máximo débil y algunas aplicaciones geométricas. 2013. (Congresso).

Seminario de Geometría. Universidade Federal do Ceará.Global differential geometry of minimal and CMC hypersurfaces in the sphere. 2013. (Seminário).

Coloquio de Matemáticas del IMUS.Una introducción al principio del máximo de Omori-Yau y sus aplicaciones en geometría. 2012. (Seminário).

Conference on Pure and Applied Differential Geometry PADGE 2012. An introduction to the generalized Omori-Yau maximum principle and its applications to geometry. 2012. (Congresso).

II Encuentro conjunto RSME-SMM. Una introducción al principio del máximo de Omori-Yau y sus aplicaciones en geometría. 2012. (Congresso).

Programa de Actividades de la Facultad de Matemáticas.Una demostración geométrica del teorema de Bernstein para grafos minimales. 2012. (Seminário).

Seminario de Geometría y Topología. Universidad de Sevilla.Resultados de Calabi-Bernstein y parabolicidad de superficies maximales. 2012. (Seminário).

III Encontro Paulista ge Geometria. Calabi-Bernstein results and parabolicity of maximal surfaces. 2011. (Congresso).

International Meeting on Differential Geometry and PDEs. Curvature estimates for spacelike hypersurfaces via geometric analysis of Lorentzian distance function. 2011. (Congresso).

Seminario de Xeometría e Topoloxía. Universidad de Santiago de Compostela.Resultados de Calabi-Bernstein y parabolicidad de superficies maximales en espacios producto lorentzianos. 2011. (Seminário).

Seminar of Differential Geometry. Institute of Mathematics and Computer Science, Wroclaw University of Technolog.The Omori-Yau maximum principle and its geometric applications. 2011. (Seminário).

Seminar of Differential Geometry. Institute of Mathematics and Computer Science, Wroclaw University of Technolog.Calabi-Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces. 2011. (Seminário).

Spanish-Japanese workshop on Differential Geometry. The generalized Omori-Yau maximum principle and its geometric applications. 2011. (Congresso).

VI International Meeting on Lorentzian Geometry. Calabi-Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces. 2011. (Congresso).

International Meeting on Differential Geometry. An introduction to the Omori-Yau maximum principle and its geometric applications. 2010. (Congresso).

Seminario de Geometría. Universidade Federal do Ceará.Global differential geometry of spacelike hypersurfaces in spacetimes. 2010. (Seminário).

VIII Geometri Sempozyumu. Geometric applications of the generalized Omori-Yau maximum principle to submanifolds in Riemannian manifolds. 2010. (Congresso).

XVI Escola de Geometria Diferencial. An introduction to the Omori-Yau maximum principle and its applications. 2010. (Congresso).

International Symposium on Differential Geometry ?In honor of Marcos Dajczer on his 60th birthday?. Geometric applications of the generalized Omori-Yau maximum principle. 2009. (Congresso).

Seminar of Differential Geometry. Universita degli Studi di Milano.Global differential geometry of spacelike hypersurfaces in spacetimes. 2009. (Seminário).

Seminar of Differential Geometry. University of Ioannina.Geometric applications of the generalized Omori-Yau maximum principle. 2009. (Seminário).

5th World Congress of Nonlinear Analysts (WCNA 2008), Technical Session on Differential Geometry and General Relativity. Geometric analysis of the Lorentzian distance function on spacelike hypersurfaces. 2008. (Congresso).

Jornadas de Analisis Geometrico. Analisis geometrico y geometria global de hipersuperficies. 2008. (Congresso).

Spanish Relativistics Meetings (ERE 2008), Physics and Mathematics of Gravitation. Geometric analysis of Lorentzian distance function on spacelike hypersurfaces. 2008. (Congresso).

Workshop on Recent Advances in Geometry and Topology of Submanifolds. On the Lorentzian distance function on spacelike hypersurfaces in spacetimes. 2008. (Congresso).

3rd Workshop in Differential Geometry. Introduccion al analisis geometrico y teoria global de superficies. 2007. (Congresso).

International Congress on Minimal and Constant Mean Curvature Surfaces. Global behaviour of maximal surfaces in Lorentzian product spaces. 2007. (Congresso).

Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces. XIV Escola de Geometria Diferencial. 2006. (Congresso).

Minicurso: Analisis Geometrico y Geometria Global de Superficies. Una Introduccion Elemental. XIV Escola de Geometria Diferencial. 2006. (Congresso).

Stability index of minimal and constant mean curvature hypersurfaces in spheres. International Conference in Memory of Jose Escobar-Chepe. 2006. (Congresso).

On the index of constant mean curvature hypersurfaces in Euclidean spheres. III Geometri Sempozyumu. 2005. (Congresso).

On the stability index of hypersurfaces with constant mean curvature in Euclidean spheres. II Workshop in Differential Geometry. 2005. (Congresso).

A spectral characterization of H(r)-tori in the Euclidean sphere. XIII Escola de Geometria Diferencial. 2004. (Congresso).

On the first stability eigenvalue of constant mean curvature hypersurfaces in spheres. Sixth Joint Meeting between the American Mathematical Society and the Sociedad Matematica Mexicana. Special Session on Variational Problems in Geometry. 2004. (Congresso).

Curvature properties of maximal surfaces in Minkowski spaces. First Joint Meeting between the AMS and the RSME. Special Session on Lorentzian Geometry and Mathematical Relativity. 2003. (Congresso).

On the first eigenvalue of the linearized operator of the higher order mean curvature. 24 Coloquio Brasileiro de Matematica. Sessao Especial de Geometria. 2003. (Congresso).

On the global behaviour of the curvature of spacelike zero mean curvature surfaces in Lorentzian spaces. XII Fall Workshop on Geometry and Physics. 2003. (Congresso).

On the Gaussian curvature of spacelike zero mean curvature surfaces in Minkowski space. Harmonic Maps, Minimal Surfaces and Geometric Flows. 2002. (Congresso).

Hipersuperficies maximales en el espacio de Lorentz-Minkowski: El teorema de Calabi-Bernstein. International Meeting on Lorentzian Geometry. 2001. (Congresso).

Hypersurfaces with constant curvature in Euclidean space. International Conference held to honour the 60th birthday of A. M. Naveira. 2001. (Congresso).

Calabi-Bernstein's theorem on maximal surfaces. International Congress on Differential Geometry in memory of Alfred Gray. 2000. (Congresso).

Constant mean curvature surfaces with circular boundary in Euclidean 3-space. Workshop on Harmonic Maps and Minimal Immersions. 2000. (Congresso).

Maximal surfaces in the Lorentz-Minkowski space Calabi-Bernstein's theorem. Workshop on Harmonic Maps and Curvature Properties of Submanifolds 2. 2000. (Congresso).

A characterization of hyperbolic caps in the Lorentz-Minkowski space. Conference on Mathematics in honour of Professor Radu Rosca at the occasion of his ninetieth birthday. 1999. (Congresso).

Constant curvature spacelike hypersurfaces with spherical boundary in the Lorentz-Minkowski space. Summer School on Differential Geometry. 1999. (Congresso).

Constant mean curvature discs with circular boundary in Euclidean space. 7th International Conference on Differential Geometry and Applications. 1998. (Congresso).

On the global behaviour of the curvature of zero mean curvature spacelike surfaces in the Lorentz-Minkowski four-space. Round Table on Global Pseudo-Riemannian Geometry. 1998. (Congresso).

Mean isotropic stability of zero mean curvature surfaces in spacetimes. First International Meeting on Geometry and Topology. 1997. (Congresso).

Hipersuperficies espaciales con curvatura media constante en espacio-tiempos. WODGA'94, III Workshop de Otonho: Geometria Diferencial y sus Aplicaciones. 1994. (Congresso).

Hypersurfaces in pseudo-Riemannian space forms satisfying the condition Delta x=Ax+B. International Meeting on Pure and Applied Differential Geometry and on Theory of Submanifolds. 1993. (Congresso).

Participação em bancas

Aluno: José Antonio Sánchez Pelegrín

ALÍAS, LUIS J. Mean curvature of a spacelike hypersurface in a spacetime with certain causal symmetries. 2018. Tese (Doutorado em Doctorado en Matematica) - Universidad de Granada.

Aluno: Abdolhakim Shouman

ALÍAS, LUIS J. Comparaison de valeurs propres de laplaciens et inégalités de Sobolev sur des variétés riemanniennes á densité. 2017. Tese (Doutorado em Doctorado) - Universite de Tours (Universite Francois Rabelais).

Aluno: Francisco Yure Santos do Nascimento Jansel

ALÍAS, LUIS J. Hipersuperficies em espacos homogeneos e em grupos de Lie lorentzianos e deformacoes de metricas kalherianas. 2017. Tese (Doutorado em Matemática) - Universidade Federal do Ceará.

Aluno: Héctor Fabián Ramírez Ospina

ALÍAS, LUIS J. Hipersuperficies en los espacios de forma pseudo-riemannianos satisfaciendo LkPsi=APsi+b. 2014. Tese (Doutorado em Doctorado) - Universidad de Murcia.

Aluno: Enrique Paniagua Arís

ALÍAS, LUIS J. Modelado con Common-KADS de la tarea de interpretación de la retórica existencial del espacio arquitectónico. 2013. Tese (Doutorado em Doctorado) - UNIVERSIDADE CATOLICA SANTO ANTONIO DE MURCIA.

Aluno: María Amelia León Guzmán

ALÍAS, LUIS J. Clasificación de toros llanos lorentzianos en espacios tridimensionales. 2012. Tese (Doutorado em Doctorado) - Universidad de Murcia.

Aluno: Verónica Martín Molina

Alias, Luis J.. (,)-espacios de curvatura -seccional constante generalizados. 2011 - Universidad de Sevilla.

Aluno: Esteban Calviño Louzao

Alias, Luis J.. Propiedades geométricas de operadores de curvatura y generalizaciones de espacios simétricos. 2011 - Universidade de Santiago de Compostela.

Aluno: Antonio Alarcón

Alias, Luis J.. Superficies minimales completas en el espacio euclídeo. 2008 - Universidad de Granada.

Aluno: Isabel Fernandez Delgado

Alias, Luis J.. Superficies maximales con singularidades aisladas. 2006. Tese (Doutorado em Doctorado en Matematica) - Universidad de Granada.

Aluno: Ana Maria Hurtado Cortegana

Alias, Luis J.. Energia y volumen de campos de vectores. 2005. Tese (Doutorado em Doctorado en Matematica) - Universitat de València.

Aluno: Miguel Angel Javaloyes Victoria

Alias, Luis J.. Sumersiones pseudo-riemannianas y modelos geometricos de particulas relativistas. 2004. Tese (Doutorado em Doctorado en Matematica) - Universidad de Murcia.

Aluno: Maria del Carmen Domingo Juan

Alias, Luis J.. Volumenes de dominios e hipersuperficies obtenidos por movimientos a lo largo de una subvariedad. 2004. Tese (Doutorado em Doctorado en Matematica) - Universitat de València.

Aluno: José Nelson Bastos Barbosa

Alias, Luis J.. Estimativas do primeiro autovalor do laplaciano e caracterizacao de hipersuperficies isoparametricas em S^{n+1}. 2002. Tese (Doutorado em Matemática) - Universidade Federal do Ceará.

Aluno: Jose Antonio Galvez Lopez

Alias, Luis J.. Superficies de curvatura constante. 2000. Tese (Doutorado em Doctorado en Matematica) - Universidad de Granada.

Aluno: María de los Angeles Hernández Cifre

Alias, Luis J.. Desigualdades geometricas con restricciones a reticulos y condiciones de existencia de puntos reticulares en dominios convexos. Conjuntos extremales. 1998. Tese (Doutorado em Doctorado en Matematica) - Universidad de Murcia.

Orientou

Francisco Marín Sola

Subvariedades espaciales de codimensión dos en el espacio-tiempo de Lorentz-Minkowski; 2019; Dissertação (Mestrado em Master de Matemática Avanzada) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Eva María Alarcón Díaz

Fórmula de Bochner-Lichnerowicz y aplicaciones; 2016; Dissertação (Mestrado em Master de Matemática Avanzada) - Universidad de Murcia, Fundación Séneca; Orientador: Luis Jose Alias Linares;

José David Rodríquez Abellán

El teorema de clasificación de superficies compactas; 2016; Dissertação (Mestrado em Master de Matemática Avanzada) - Universidad de Murcia,; Coorientador: Luis Jose Alias Linares;

Verónica López Cánovas

El teorema de Calabi-Bernstein para superficies maximales del espacio de Lorentz-Minkowski; 2014; Dissertação (Mestrado em Master de Matemática Avanzada) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Héctor Fabián Ramírez Ospina

Geometría global de hipersuperficies espaciales de curvatura media constante en el espacio de De Sitter; 2009; Dissertação (Mestrado em Matematica Avnzada) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Sandra Carolina García Martínez

Una introducción al estudio de superficies minimales y de curvatura media constante en el espacio euclideo; 2008; Dissertação (Mestrado em Matematicas) - Universidad de Murcia, Fundacion Carolina; Orientador: Luis Jose Alias Linares;

Héctor Fabián Ramírez Ospina

Hipersuperficies espaciales completas con curvatura media constante en el espacio de deSitter; 2008; Dissertação (Mestrado em Matematicas) - Universidad Del Valle,; Orientador: Luis Jose Alias Linares;

Maria del Carmen Fernandez Moya

Hipersuperficies de curvatura media constante: el teorema de Alexandrov y sus generalizaciones; 2004; Dissertação (Mestrado em Matematicas) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Pablo Mira Carrillo

Geometria de las superficies maximales en el espacio de Lorentz-Minkowski; 2000; Dissertação (Mestrado em Matematicas) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Juan Angel Aledo Sanchez

Hipersuperficies espaciales compactas de curvatura media constante en el espacio de De Sitter; 1998; Dissertação (Mestrado em Matematicas) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Jose Antonio Pastor Gonzalez

Superficies compactas con borde de curvatura media constante en los espacios euclideo y de Lorentz-Minkowski; 1997; Dissertação (Mestrado em Matematicas) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Verónica López Cánovas

Trapped submanifolds in Lorentzian spacetimes (Subvariedades atrapadas en espa- ciotiempos lorentzianos); 2018; Tese (Doutorado em Doctorado) - Universidad de Murcia, Fundación Séneca; Orientador: Luis Jose Alias Linares;

Irene Ortiz Sánchez

The first stability eigenvalue for compact constant mean curvature surfaces; 2016; Tese (Doutorado em Doctorado) - Universidad de Murcia, Ministerio de Educacion y Ciencia; Coorientador: Luis Jose Alias Linares;

Sandra Carolina García Martínez

Aplicaciones del principio del máximo generalizado de Omori-Yau al estudio de la geometría global de hipersuperficies en espacios de curvatura constante; 2012; Tese (Doutorado em Geometria diferencial) - Universidad de Murcia, Fundación Séneca; Orientador: Luis Jose Alias Linares;

Alma Luisa Albujer Brotons

Geometria global de superficies espaciales en espacios producto lorentzianos; 2008; Tese (Doutorado em Doctorado en Matematica) - Universidad de Murcia, Ministerio de Educacion y Ciencia; Orientador: Luis Jose Alias Linares;

Pablo Mira Carrillo

Resolucion geometrica del problema de Cauchy para superficies y aplicaciones; 2003; Tese (Doutorado em Doctorado en Matematica) - Universidad de Murcia,; Coorientador: Luis Jose Alias Linares;

Juan Angel Aledo Sanchez

Hipersuperficies espaciales completas en el espacio de De Sitter; 2000; Tese (Doutorado em Doctorado en Matematica) - Universidad de Murcia,; Orientador: Luis Jose Alias Linares;

Jose Antonio Pastor Gonzalez

Hipersuperficies espaciales de curvatura constante en el espacio de Lorentz-Minkowski; 1999; Tese (Doutorado em Doctorado en Matematica) - Universidad de Murcia, Ministerio de Educacion y Ciencia; Orientador: Luis Jose Alias Linares;

Produções bibliográficas

ALÍAS, LUIS J ; MELENDEZ, J. . Integral Inequalities for Compact Hypersurfaces with Constant Scalar Curvature in the Euclidean Sphere. Mediterranean Journal of Mathematics , v. 17, p. 61, 2020.
ALÍAS, L.J. ; CAMINHA, A. ; DO NASCIMENTO, F.Y. . A maximum principle at infinity with applications to geometric vector fields. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , v. 474, p. 242-247, 2019.
Alías, Luis J. ; MELÉNDEZ, JOSUÉ . Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space. GEOMETRIAE DEDICATA , v. 199, p. 273-280, 2019.
ALARCÓN, EVA M. ; Alías, Luis J. ; DOS SANTOS, FÁBIO R. . A New Approach to Minimal and Maximal Hypersurfaces in Product Spaces. Results in Mathematics , v. 74, p. 116, 2019.
Alías, Luis J. ; DE LIRA, JORGE H. ; RIGOLI, MARCO . Mean Curvature Flow Solitons in the Presence of Conformal Vector Fields. JOURNAL OF GEOMETRIC ANALYSIS , v. 30, p. 1466-1529, 2019.
Alías, Luis J. ; CÁNOVAS, VERÓNICA L. ; RIGOLI, MARCO . Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS , v. 149, p. 1523-1553, 2019.
Alías, Luis J. ; CÁNOVAS, VERÓNICA L. ; RIGOLI, MARCO . Trapped submanifolds contained into a null hypersurface of de Sitter spacetime. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS , v. 20, p. 1750059, 2018.
ALÍAS, LUIS J. ; MELÉNDEZ, JOSUÉ ; Palmas, Oscar . Hypersurfaces with constant scalar curvature in space forms. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS , v. 58, p. 65-82, 2018.
Alías, Luis J. ; LIMA, HENRIQUE F. DE ; SANTOS, FÁBIO R. DOS . Characterizations of Spacelike Submanifolds with Constant Scalar Curvature in the de Sitter Space. Mediterranean Journal of Mathematics , v. 15, p. 12, 2018.
ALÍAS, LUIS ; DE LIMA, HENRIQUE ; DOS SANTOS, FÁBIO . New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. PACIFIC JOURNAL OF MATHEMATICS , v. 292, p. 1-19, 2018.
Alías, Luis J. ; CÁNOVAS, VERÓNICA L. ; COLARES, A. GERVASIO . Marginally trapped submanifolds in generalized Robertson-Walker spacetimes. General Relativity and Gravitation , v. 49, p. 23-49, 2017.
ALÍAS, L.J. ; CAMINHA, A. . On the scarcity of non-totally geodesic complete spacelike hypersurfaces of constant mean curvature in a Lie group with bi-invariant Lorentzian metric. Differential Geometry and Its Applications , v. 51, p. 49-64, 2017.
Alias, Luis J. ; J.H.S. DE LIRA ; M. RIGOLI . Geometric elliptic functionals and mean curvature. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE , v. XV, p. 609-655, 2016.
Alias, Luis J. ; MIRANDA, J. F. ; M. RIGOLI . A new open form of the weak maximum principle and geometric applications. Communications in Analysis and Geometry , v. 24, p. 1-43, 2016.
ALÍAS, LUIS J ; BESSA, G PACELLI ; DE LIRA, JORGE H S . Geometric analysis of the Lorentzian distance function on trapped submanifolds. Classical and Quantum Gravity (Print) , v. 33, p. 125007, 2016.
Alías, Luis J. ; MELÉNDEZ, JOSUÉ . Hypersurfaces with constant higher order mean curvature in Euclidean space. Geometriae Dedicata , v. 182, p. 117-131, 2016.
ALÍAS, LUIS J. ; MEROO, MIGUEL A. ; ORTIZ, IRENE . On the First Stability Eigenvalue of Constant Mean Curvature Surfaces Into Homogeneous 3-Manifolds. Mediterranean Journal of Mathematics (Print) , v. 12, p. 147-158, 2015.
Alías, Luis J. ; GERVASIO COLARES, A. ; DE LIMA, HENRIQUE F. . Uniqueness of entire graphs in warped products. Journal of Mathematical Analysis and Applications (Print) , v. 430, p. 60-75, 2015.
Alías, Luis J. ; RIGOLI, MARCO ; SCOLERI, SIMONA . Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes. Nonlinear Analysis , v. 129, p. 119-142, 2015.
Alías, Luis J. ; DE LIMA, HENRIQUE F. ; MELÉNDEZ, JOSUÉ ; DOS SANTOS, FÁBIO R. . Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds. Mathematische Nachrichten , v. 289, p. n/a-n/a, 2015.
Alias, Luis J. ; S.C. GARCIA-MARTINEZ ; M. RIGOLI . Biharmonic hypersurfaces in complete Riemannian manifolds. Pacific Journal of Mathematics , v. 263, p. 1-12, 2013.
Alias, Luis J. ; M. DAJCZER ; M. RIGOLI . Higher order mean curvature estimates for bounded complete hypersurfaces. Nonlinear Analysis , v. 84, p. 73-83, 2013.
Alias, Luis J. ; D. IMPERA ; M. RIGOLI . Hypersurfaces of constant higher order mean curvature in warped products. Transactions of the American Mathematical Society , v. 365, p. 591-621, 2013.
Alias, Luis J. ; H.F. DE LIMA ; A.G. COLARES . On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Sociedade Brasileira de Matematica. Boletim, Nova Serie , v. 44, p. 195-217, 2013.
ALÍAS, LUIS J. ; LÓPEZ, RAFAEL ; RIPOLL, JAIME . Existence and Topological Uniqueness of Compact CMC Hypersurfaces with Boundary in Hyperbolic Space. The Journal of Geometric Analysis , v. 23, p. 2177-2187, 2013.
ALÍAS, LUIS J. ; IMPERA, DEBORA ; RIGOLI, MARCO . Erratum to -Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes-. Math. Proc. Camb. Phil. Soc. (2012), 152, 365-383.. Mathematical Proceedings of the Cambridge Philosophical Society (Print) , v. 155, p. 375-377, 2013.
ALBANESE, GUGLIELMO ; ALÍAS, LUIS ; RIGOLI, MARCO . A general form of the weak maximum principle and some applications. Revista Matemática Iberoamericana , v. 29, p. 1437-1476, 2013.
Alias, Luis J. ; S.C. GARCIA-MARTINEZ . An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms. Geometriae Dedicata , v. 156, p. 31-47, 2012.
Alias, Luis J. ; J.H.S. DE LIRA ; J.A. HINOJOSA . Generalized Weierstrass representation for surfaces in Heisenberg spaces. Differential Geometry and Its Applications , v. 30, p. 1-12, 2012.
Alias, Luis J. ; S.C. GARCIA-MARTINEZ ; M. RIGOLI . A maximum principle for hypersurfaces with constant scalar curvature and applications. Annals of Global Analysis and Geometry , v. 41, p. 307-320, 2012.
Alias, Luis J. ; D. IMPERA ; M. RIGOLI . Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson Walker spacetimes. Mathematical Proceedings of the Cambridge Philosophical Society (Print) , v. 152, p. 365-383, 2012.
Alias, Luis J. ; G.P BESSA ; J.F. MONTENEGRO . An estimate for the sectional curvature of cylindrically bounded submanifolds. Transactions of the American Mathematical Society , v. 364, p. 3513-3528, 2012.
A.L. ALBUJER ; Alias, Luis J. . Parabolicity of maximal surfaces in Lorentzian product spaces. Mathematische Zeitschrift , v. 267, p. 453-464, 2011.
Alias, Luis J. ; P. PICCIONE . On the manifold structure of the set of unparameterized embeddings with low regularity. Bulletin Brazilian Mathematical Society (Impresso) , v. 42, p. 171-183, 2011.
Alias, Luis J. ; G.P BESSA ; J.F. MONTENEGRO ; P. PICCIONE . Curvature Estimates for Submanifolds in Warped Products. Results in Mathematics / Resultate der Mathematik , v. 1-4, p. 265-286, 2011.
Alias, Luis J. ; M. DAJCZER . A mean curvature estimate for cylindrically bounded submanifolds. Pacific Journal of Mathematics , v. 254, p. 1-9, 2011.
Alias, Luis J. ; P. PICCIONE . Bifurcation of Constant Mean Curvature Tori in Euclidean Spheres. The Journal of Geometric Analysis , p. 677-708, 2011.
A.L. ALBUJER ; J.A. ALEDO ; Alias, Luis J. . On the scalar curvature of hypersurfaces in spaces with a Killing field. Advances in Geometry (Print) , v. 10, p. 487-503, 2010.
Alias, Luis J. ; S.C. GARCIA-MARTINEZ . On the scalar curvature of constant mean curvature hypersurfaces in space forms. Journal of Mathematical Analysis and Applications (Print) , v. 363, p. 579-587, 2010.
Alias, Luis J. ; A. HURTADO ; V. PALMER . Geometric analysis of Lorentzian distance function on spacelike hypersurfaces. Transactions of the American Mathematical Society , v. 362, p. 5083-5106, 2010.
Alias, Luis J. ; S.M.B. KASHANI . Hypersurfaces in space forms satisfying the condition Lkx = Ax + b. Taiwanese Journal of Mathematics , v. 14, p. 1957-1977, 2010.
A.L. ALBUJER ; Alias, Luis J. . Spacelike hypersurfaces with constant mean curvature is th steady state space. Proceedings of the American Mathematical Society , v. 137, p. 711-721, 2009.
A.L. ALBUJER ; Alias, Luis J. . A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in H2xR1. Bulletin Brazilian Mathematical Society (Impresso) , v. 40, p. 465-478, 2009.
A.L. ALBUJER ; Alias, Luis J. . Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces. Journal of Geometry and Physics , v. 59, p. 620-631, 2009.
Alias, Luis J. ; G.P BESSA ; M. DAJCZER . The mean curvature of cylindrically bounded submanifolds. Mathematische Annalen , v. 345, p. 367-376, 2009.
Alias, Luis J. ; M. DAJCZER . Constant mean curvature graphs in a class of warped product spaces. Geometriae Dedicata , v. 131, p. 173-179, 2008.
Alias, Luis J. ; A. BRASIL JR. ; O. PERDOMO . A characterization of quadric constant mean curvature hypersurfaces of spheres. The Journal of Geometric Analysis , v. 18, p. 687-703, 2008.
A.L. ALBUJER ; Alias, Luis J. . A local estimate for maximal surfaces in Lorentzian product spaces. Matemática Contemporânea , v. 34, p. 1-10, 2008.
Alias, Luis J. ; M. DAJCZER . Constant mean curvature hypersurfaces in warped product spaces. Proceedings of the Edinburgh Mathematical Society , v. 50, p. 511-526, 2007.
Alias, Luis J. ; A. BRASIL JR. ; O. PERDOMO . On the stability index of hypersurfaces with constant mean curvature in spheres. Proceedings of the American Mathematical Society , v. 135, p. 3685-3693, 2007.
Alias, Luis J. ; M. DAJCZER . Normal geodesic graphs of constant mean curvature. Journal of Differential Geometry , v. 75, p. 387-401, 2007.
Alias, Luis J. ; M. DAJCZER ; J. RIPOLL . A Bernstein-type theorem for Riemannian manifolds with a Killing field. Annals of Global Analysis and Geometry , v. 31, p. 363-373, 2007.
Alias, Luis J. ; A.G. COLARES . Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. Mathematical Proceedings of the Cambridge Philosophical Society (Print) , v. 143, p. 703-729, 2007.
Alias, Luis J. ; M. DAJCZER ; H. ROSENBERG . The Dirichlet problem for constant mean curvature surfaces in Heisenberg space. Calculus of Variations and Partial Differential Equations , v. 30, p. 513-522, 2007.
Alias, Luis J. ; M. DAJCZER . Uniqueness of constant mean curvature surfaces properly immersed in a slab. Commentarii Mathematici Helvetici , v. 81, p. 653-663, 2006.
Alias, Luis J. ; J.H.S. DE LIRA ; J.M. MALACARNE . Constant higher-order mean curvature hypersurfaces in Riemannian spaces. Journal of the Institute of Mathematics of Jussieu , v. 5, p. 527-562, 2006.
Alias, Luis J. ; T. KUROSE ; G. SOLANES . Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Differential Geometry and Its Applications , v. 24, p. 492-502, 2006.
Alias, Luis J. ; N. GURBUZ . An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures. Geometriae Dedicata , v. 121, p. 113-127, 2006.
Alias, Luis J. ; A. BRASIL JR. ; O. PERDOMO . Stable constant mean curvature hypersurfaces in the real projective space. Manuscripta Mathematica , v. 121, p. 329-338, 2006.
Alias, Luis J. . On the stability index of minimal and constant mean curvature hypersurfaces in spheres. Revista de la Unión Matemática Argentina , v. 47, p. 39-61, 2006.
J.A. ALEDO ; Alias, Luis J. ; A. ROMERO . A new proof of Liebmann classical rigidity theorem for surfaces in space forms. The Rocky Mountain Journal of Mathematics , v. 35, p. 1811-1824, 2005.
Alias, Luis J. ; A.G. COLARES . A further characterization of ellipsoids. Resultate der Mathematik , v. 48, p. 1-8, 2005.
Alias, Luis J. ; A. BARROS ; A. BRASIL JR. . A spectral characterization of the $H(r)$-torus by the first stability eigenvalue. Proceedings of the American Mathematical Society , v. 133, p. 875-884, 2005.
Alias, Luis J. ; S.C. DE ALMEIDA ; A. BRASIL JR. . Hypersurfaces with constant mean curvature and two principal curvatures in S^{n+1}. Anais da Academia Brasileira de Ciências , v. 76, p. 489-497, 2004.
Alias, Luis J. ; A. BRASIL JR. ; L.A.M. SOUSA . A characterization of Clifford tori with constant scalar curvature one by the first stability eigenvalue. Bulletin of the Brazilian Mathematical Society , v. 35, p. 165-175, 2004.
Alias, Luis J. ; J.M. MALACARNE . On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms. Illinois Journal of Mathematics , v. 48, p. 219-240, 2004.
Alias, Luis J. ; A. BRASIL JR. ; A.G. COLARES . Integral formulae for spacelike hypersurfaces in conformally stationary spacetimes and applications. Proceedings of the Edinburgh Mathematical Society , v. 46, p. 465-488, 2003.
Alias, Luis J. ; R.M.B. CHAVES ; P. MIRA . Björling problem for maximal surfaces in Lorentz-Minkowski space. Mathematical Proceedings of the Cambridge Philosophical Society (Print) , v. 134, p. 289-316, 2003.
Alias, Luis J. . An integral formula for compact hypersurfaces in space forms and its applications. Journal of the Australian Mathematical Society , v. 74, p. 239-248, 2003.
Alias, Luis J. ; J.M. MALACARNE . Constant scalar curvature hypersurfaces with spherical boundary in Euclidean space. Revista Matemática Iberoamericana , v. 18, p. 431-442, 2002.
Alias, Luis J. ; P. MIRA . A Schwarz-type formula for minimal surfaces in Euclidean space R^n. Comptes Rendus. Mathématique , v. 334, p. 389-394, 2002.
Alias, Luis J. ; J.M. MALACARNE . Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time. Journal of Geometry and Physics , v. 41, p. 359-375, 2002.
J.A. ALEDO ; Alias, Luis J. ; J.M. MALACARNE ; J.A. PASTOR . Addendum to: "Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time". Journal of Geometry and Physics , v. 41, p. 376-379, 2002.
J.A. ALEDO ; Alias, Luis J. . On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space. Proceedings of the American Mathematical Society , v. 130, p. 1145-1151, 2002.
Alias, Luis J. ; B. PALMER . Stability of zero mean curvature surfaces in flat Lorentzian 4-manifolds. Contemporary Mathematics. American Mathematical Society , v. 288, p. 244-248, 2001.
Alias, Luis J. ; B. PALMER . On the area of constant mean curvature discs and annuli with circular boundaries. Mathematische Zeitschrift , v. 237, p. 585-599, 2001.
Alias, Luis J. . A congruence theorem for compact spacelike surfaces in de Sitter space. Tokyo Journal of Mathematics , v. 24, p. 107-112, 2001.
Alias, Luis J. ; B. PALMER . A duality result between the minimal surface equation and the maximal surface equation. Anais da Academia Brasileira de Ciências , v. 73, p. 161-164, 2001.
Alias, Luis J. ; B. PALMER . On the Gaussian curvature of maximal surfaces and the Calabi-Bernstein theorem. Bulletin of the London Mathematical Society , v. 33, p. 454-458, 2001.
Alias, Luis J. ; S.E. KOH . Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature. Journal of Geometry and Physics , v. 39, p. 45-49, 2001.
J.A. ALEDO ; Alias, Luis J. . Curvature properties of compact spacelike hypersurfaces in de Sitter space. Differential Geometry and Its Applications , v. 14, p. 137-149, 2001.
J.A. ALEDO ; Alias, Luis J. . On the curvatures of complete spacelike hypersurfaces in de Sitter space. Geometriae Dedicata , v. 80, p. 51-58, 2000.
J.A. ALEDO ; Alias, Luis J. . On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space. Manuscripta Mathematica , v. 101, p. 401-413, 2000.
Alias, Luis J. ; J.A. PASTOR . Spacelike hypersurfaces with constant scalar curvature in the Lorentz-Minkowski space. Annals of Global Analysis and Geometry , v. 18, p. 75-83, 2000.
Alias, Luis J. . On the Ricci curvature of compact spacelike hypersurfaces in de Sitter space. Geometriae Dedicata , v. 77, p. 297-304, 1999.
J.A. ALEDO ; Alias, Luis J. ; A. ROMERO . Integral formulas for compact space-like hypersurfaces in de Sitter space: applications to the case of constant higher order mean curvature. Journal of Geometry and Physics , v. 31, p. 195-208, 1999.
Alias, Luis J. ; B. PALMER . Zero mean curvature surfaces with non-negative curvature in flat Lorentzian 4-spaces. Proceedings of the Royal Society of London. Mathematical, Physical and Engineering Sciences , v. 455, p. 631-636, 1999.
Alias, Luis J. ; J.A. PASTOR . Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space. Classical and Quantum Gravity , v. 16, p. 1323-1331, 1999.
Alias, Luis J. ; R. LOPEZ ; B. PALMER . Stable constant mean curvature surfaces with circular boundary. Proceedings of the American Mathematical Society , v. 127, p. 1195-1200, 1999.
Alias, Luis J. ; R. LOPEZ ; J.A. PASTOR . Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space. Tohoku Mathematical Journal , v. 50, p. 491-501, 1998.
Alias, Luis J. ; J.A. PASTOR . Constant mean curvature spacelike hypersurfaces with spherical boundary in the Lorentz-Minkowski space. Journal of Geometry and Physics , v. 28, p. 85-93, 1998.
Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS ; M.A. MERONO . On the Gauss map of B-scrolls. Tsukuba Journal of Mathematics , v. 22, p. 371-377, 1998.
Alias, Luis J. ; B. PALMER . Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms. Mathematical Proceedings of the Cambridge Philosophical Society , v. 124, p. 315-327, 1998.
Alias, Luis J. ; A. ROMERO ; M. SANCHEZ . Spacelike hypersurfaces of constant mean curvature in certain spacetimes. Nonlinear Analysis. Theory, Methods and Applications , v. 30, p. 955-661, 1997.
Alias, Luis J. ; B. PALMER . Deformations of stationary surfaces. Classical and Quantum Gravity , v. 14, p. 2107-2111, 1997.
Alias, Luis J. ; F.J.M. ESTUDILLO ; A. ROMERO . Spacelike submanifolds with parallel mean curvature in pseudo-Riemannian space forms. Tsukuba Journal of Mathematics , v. 21, p. 169-179, 1997.
Alias, Luis J. ; A. ROMERO ; M. SANCHEZ . Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems. Tohoku Mathematical Journal , v. 49, p. 337-345, 1997.
Alias, Luis J. ; F.J.M. ESTUDILLO ; A. ROMERO . On the Gaussian curvature of maximal surfaces in $n$-dimensional generalized Robertson-Walker spacetimes. Classical and Quantum Gravity , v. 13, p. 3211-3219, 1996.
Alias, Luis J. ; B. PALMER . Conformal geometry of surfaces in Lorentzian space forms. Geometriae Dedicata , v. 60, p. 301-315, 1996.
Alias, Luis J. ; A. ROMERO . Integral formulas for compact spacelike n-submanifolds in de Sitter spaces. Applications to the parallel mean curvature vector case. Manuscripta Mathematica , v. 87, p. 405-416, 1995.
Alias, Luis J. ; A. ROMERO . An integral inequality for compact maximal surfaces in n-dimensional de Sitter space and its applications. Annals of Global Analysis and Geometry , v. 13, p. 3-8, 1995.
Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS . Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field. Journal of Geometry , v. 52, p. 10-24, 1995.
Alias, Luis J. ; A. ROMERO ; M. SANCHEZ . Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes. General Relativity and Gravitation , v. 27, p. 71-84, 1995.
Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS . Hypersurfaces in space forms satisfying the condition Delta x=Ax+B. Transactions of the American Mathematical Society , v. 347, p. 1793-1801, 1995.
Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS . 2-type surfaces in S^3_1 and H^3_1. Tokyo Journal of Mathematics , v. 17, p. 447-454, 1994.
Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS . Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying Delta x=Ax+B. Pacific Journal of Mathematics , v. 156, p. 201-208, 1992.
Alias, Luis J. ; A. FERRANDEZ ; P. LUCAS . Submanifolds in pseudo-Euclidean spaces satisfying the condition Delta x=Ax+B. Geometriae Dedicata , v. 42, p. 345-354, 1992.
ALÍAS, LUIS J ; MASTROLIA, P. ; RIGOLI, MARCO . Maximum principles and geometric applications. 1. ed. Cham: Springer, 2016. v. 1. xvii+570p .
Alias, Luis J. ; M. RIGOLI . An introduction to the Omori-Yau maximum principle and its applications. Sao Carlos: RiMa, 2010. v. 1. 78p .
Alias, Luis J. . Análisis Geométrico y Geometría Global de Superficies: Una Introducción Elemental. Rio de Janeiro: IMPA, 2006. v. 1. 60p .
Alias, Luis J. . El significado geometrico de la curvatura: superficies de curvatura media constante. Murcia: Fundacion Seneca, 2004. v. 1. 52p .
Albujer, Alma L. ; Alías, Luis J. . Calabi-Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces. Springer Proceedings in Mathematics & Statistics. 26ed.: Springer New York, 2012, v. , p. 49-85.
Alias, Luis J. ; A. HURTADO ; V. PALMER . Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces. In: K.E. Kunze, M. Mars, M.A. Vázquez-Mozo. (Org.). Physics and Mathematics of Gravitation. Melville, New York: American Institute of Physics, 2009, v. 1122, p. 91-98.
Alias, Luis J. . Willmore functional. In: Managing Editor M. Hazewinkel. (Org.). Encyclopaedia of Mathematics, Supplement III. New York: Springer Verlag, 2002, v. , p. -.
Alias, Luis J. ; P. MIRA . On the Calabi-Bernstein theorem for maximal hypersurfaces in the Lorentz-Minkowski space. In: International Meeting on Lorentzian Geometry, 2003, Benalmadena. Publicaciones de la Real Sociedad Matemática Espaola. Madrid: Real Sociedad Matemática Espaola. v. 5. p. 23-55.
Alias, Luis J. ; S. MONTIEL . Uniqueness of spacelike hypersurfaces with constant mean curvature in generalized Robertson-Walker spacetimes. In: International Conference held to honour the 60th birthday of A. M. Naveira, 2002, Valencia. Differential geometry, Valencia 2001. River Edge, NJ: World Scientific Publishing Co., 2002. p. 59-69.
Alias, Luis J. ; J.M. MALACARNE . Hypersurfaces with constant curvature in Euclidean space. In: International Conference held to honour the 60th birthday of A. M. Naveira, 2002, Valencia. Differential geometry, Valencia 2001. River Edge, NJ: World Scientific Publishing Co., 2002. p. 28-58.
J.A. ALEDO ; Alias, Luis J. . Some estimates for the curvatures of spacelike hypersurfaces in de Sitter space. In: 2nd International Conference on Geometry, Integrability and Quantization, 2001, Varna. Geometry, Integrability and Quantization. Sofia: Coral Press Scientific Publishing. v. 2. p. 72-81.
Alias, Luis J. ; J.A. PASTOR . Constant curvature spacelike hypersurfaces in the Lorentz-Minkowski space. In: International Conference on Geometry, Integrability and Quantization, 2000, Varna. Geometry, Integrability and Quantization. Sofia: Coral Press Scientific Publishing. v. 1. p. 17-26.
Alias, Luis J. ; A. ROMERO ; M. SANCHEZ . Spacelike hypersurfaces of constant mean curvature in spacetimes with symmetries. In: 7th Autumn Conference on Differential Geometry and its Applications, 2000, Valencia. Publicaciones de la Real Sociedad Matemática Espaola. Madrid: Real Sociedad Matemática Espaola. v. 1. p. 1-14.
Alías, Luis J. ; CAMINHA, ANTONIO ; NASCIMENTO, F. YURE DO . A maximum principle related to volume growth and applications. ANNALI DI MATEMATICA PURA ED APPLICATA , 2020.

Outras produções

Alias, Luis J. ; A. FERRANDEZ ; M.A. HERNANDEZ-CIFRE ; P. LUCAS ; J.A. PASTOR . Proceedings of the XIII Fall Workshop on Geometry and Physics (Murcia, 2004). 2005. (Editoração/Livro).

Alias, Luis J. ; A. FERRANDEZ ; M.A. HERNANDEZ-CIFRE ; P. LUCAS ; J.A. PASTOR . II International Meeting on Lorentzian Geometry (Murcia, 2003). 2004. (Editoração/Livro).

Projetos de pesquisa

2019 - Atual

Análisis global en geometría diferencial y convexa, PGC2018-097046-B-I00, Situação: Em andamento; Natureza: Pesquisa. , Integrantes: Luis Jose Alias Linares - Coordenador., Financiador(es): Ministerio de Ciencia e Innovación - Auxílio financeiro.
2017 - 2019

Red Espaola de Análisis Geométrico (REAG), MTM2016-81938-REDT, Situação: Concluído; Natureza: Pesquisa. , Integrantes: Luis Jose Alias Linares - Coordenador., Financiador(es): Ministerio de Ciencia e Innovación - Auxílio financeiro.
2016 - 2019

Análisis global en geometría diferencial y convexa, MTM2015-65430-P, Situação: Concluído; Natureza: Pesquisa. , Integrantes: Luis Jose Alias Linares - Coordenador., Financiador(es): Ministerio de Ciencia e Innovación - Auxílio financeiro.
2016 - Atual

Global Analysis in Differential and Convex Geometry,19901/GERM/15, Situação: Em andamento; Natureza: Pesquisa. , Integrantes: Luis Jose Alias Linares - Coordenador., Financiador(es): Fundación Séneca - Auxílio financeiro.
2013 - 2015

Análisis global en geometría diferencial y convexa, MTM2012-34037, Situação: Concluído; Natureza: Pesquisa. , Integrantes: Luis Jose Alias Linares - Coordenador., Financiador(es): Ministerio de Ciencia e Innovación - Auxílio financeiro.

Prêmios

2017

Académico Numerario, Academia de Ciencias de la Región de Murcia.

2002

I Premio Jóvenes Investigadores de la Región de Murcia: Ciencia y Tecnologia, Consejeria de Ciencia y Tecnologia de la Region de Murcia y Fundacion Seneca.

1994

Premio Extraordinario de Doctorado en Matematicas, Universidad de Murcia.

1990

Primer Premio Nacional de Terminación de Estudios Universitarios de Ciencias Matematicas, Ministerio de Educacion y Ciencia, Espanha.

1990

Premio Extraordinario de Licenciatura Fin de Carrera de Matematicas, Universidad de Murcia.

Histórico profissional

Endereço profissional

Universidad de Murcia, Departamento de Matematicas. , Campus de Espinardo, E-30100 - Murcia, - Espanha, Telefone: () 3496836418, Fax: () 3496836418

Experiência profissional

2004 - Atual

Universidad de Murcia

Vínculo: Catedratico de Universidad, Enquadramento Funcional: Profesor, Regime: Dedicação exclusiva.

Atividades

01/1990
Pesquisa e desenvolvimento, Departamento de Matematicas.,Linhas de pesquisa

2005 - 2006

Institut Des Hautes Ètudes Scientifiques