Edit Profile (opens in new tab) Alías, Luis J. Co-Author Distance Author ID: alias.luis-j Published as: Alías, Luis J.; Alías, L. J.; Alías, Luis; Alias, Luis J.; Alías, Luís J. more...less External Links: MGP · ORCID Documents Indexed: 129 Publications since 1992, including 2 Books and 2 Additional arXiv Preprints Reviewing Activity: 28 Reviews Co-Authors: 56 Co-Authors with 124 Joint Publications 546 Co-Co-Authors all top 5 Co-Authors 5 single-authored 17 Rigoli, Marco 13 Romero, Alfonso 10 Dajczer, Marcos 10 Palmer, Bennett 9 Aledo, Juan Ángel 8 Ferrández, Angel 8 Lucas, Pascual 7 Albujer, Alma L. 7 Chaves Brasil Junior, Aldir 6 Colares, Antonio Gervásio 6 de Lira, Jorge Herbert Soares 6 Malacarne, Jose Miguel 6 Pastor, José A. 6 Sánchez Caja, Miguel 5 Caminha, Antonio 5 de Lima, Henrique F. 5 García-Martínez, S. Carolina 5 Meléndez, Josué 4 Dos Santos, Fábio Reis 4 Bessa, Gregório Pacelli 3 Cánovas, Verónica L. 3 Impera, Debora 3 López Camino, Rafael 3 Perdomo, Oscar Mario 3 Piccione, Paolo 2 Colombo, Giulio 2 Do Nascimento, F. Yure S. 2 Estudillo, Francisco J. M. 2 Meroño Bayo, Miguel Angel 2 Mira, Pablo 2 Nascimento, F. Yure do 2 Ripoll, Jaime Bruck 1 Alarcón, Eva M. 1 Albanese, Guglielmo 1 Barros, Abdênago A. 1 Chaves, Rosa Maria Barreiro 1 Chión, Sergio J. 1 de Almeida, Sebastião Carneiro 1 Gürbüz, Nevin Ertug 1 Hinojosa, Jorge A. 1 Hurtado, Ana 1 Kashani, M. B. 1 Koh, Sung-Eun 1 Kurose, Takashi 1 Mastrolia, Paolo 1 Miranda, Juliana F. R. 1 Montenegro, José Fábio Bezerra 1 Montiel, Sebastián 1 Ortiz, Irene 1 Palmas, Oscar 1 Palmer, Vicente 1 Ramírez-Ospina, Héctor-Fabián 1 Rosenberg, Harold 1 Scoleri, Simona 1 Solanes, Gil 1 Sousa, Luiz Amancio M. jun. all top 5 Serials 9 Geometriae Dedicata 6 Journal of Geometry and Physics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Proceedings of the American Mathematical Society 5 Annals of Global Analysis and Geometry 5 Differential Geometry and its Applications 5 The Journal of Geometric Analysis 4 Classical and Quantum Gravity 4 Pacific Journal of Mathematics 4 Transactions of the American Mathematical Society 4 Bulletin of the Brazilian Mathematical Society. New Series 3 Journal of Mathematical Analysis and Applications 3 Manuscripta Mathematica 3 Results in Mathematics 3 Mediterranean Journal of Mathematics 2 General Relativity and Gravitation 2 Anais da Academia Brasileira de Ciências 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Tôhoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Tsukuba Journal of Mathematics 2 Revista Matemática Iberoamericana 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of Geometry 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Revista de la Unión Matemática Argentina 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Communications in Analysis and Geometry 1 Calculus of Variations and Partial Differential Equations 1 Matemática Contemporânea 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Nonlinear Analysis. Theory, Methods & Applications 1 Springer Monographs in Mathematics all top 5 Fields 126 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Relativity and gravitational theory (83-XX) 7 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Potential theory (31-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 1,739 times in 866 Documents Cited by ▼ Year ▼ Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 0908.53034 Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 190 1995 Maximum principles and geometric applications. Zbl 1346.58001 Alías, Luis J.; Mastrolia, Paolo; Rigoli, Marco 108 2016 Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1131.53035 Alías, Luis J.; Colares, A. Gervasio 70 2007 Integral formulae for spacelike hypersurfaces in conformally stationary spacetimes and applications. Zbl 1053.53038 Alías, Luis J.; Brasil, Aldir jun.; Colares, A. Gervasio 65 2003 Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems. Zbl 0912.53046 Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 55 1997 Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces. Zbl 1173.53025 Albujer, Alma L.; Alías, Luis J. 45 2009 An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures. Zbl 1119.53004 Alías, Luis J.; Gürbüz, Nevin 44 2006 Hypersurfaces of constant higher order mean curvature in warped products. Zbl 1276.53064 Alías, Luis J.; Impera, Debora; Rigoli, Marco 43 2013 Constant mean curvature hypersurfaces in warped product spaces. Zbl 1141.53051 Alías, Luis J.; Dajczer, Marcos 42 2007 A Bernstein-type theorem for Riemannian manifolds with a Killing field. Zbl 1125.53005 Alías, Luis J.; Dajczer, Marcos; Ripoll, Jaime 37 2007 Constant higher-order mean curvature hypersurfaces in Riemannian spaces. Zbl 1118.53038 Alías, Luis J.; De Lira, Jorge H. S.; Malacarne, J. Miguel 37 2006 Björling problem for maximal surfaces in Lorentz-Minkowski space. Zbl 1027.53063 Alías, Luis J.; Chaves, Rosa M. B.; Mira, Pablo 35 2003 Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature. Zbl 0969.53031 Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 34 1999 Spacelike hypersurfaces of constant mean curvature in certain spacetimes. Zbl 0891.53050 Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 33 1997 Spacelike hypersurfaces with constant mean curvature in the steady state space. Zbl 1162.53043 Albujer, Alma L.; Alías, Luis J. 31 2009 Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1241.53051 Alías, Luis J.; Impera, Debora; Rigoli, Marco 30 2012 Uniqueness of constant mean curvature surfaces properly immersed in a slab. Zbl 1110.53039 Alías, Luis J.; Dajczer, Marcos 26 2006 On the Gaussian curvature of maximal surfaces and the Calabi-Bernstein theorem. Zbl 1041.53038 Alías, Luis J.; Palmer, Bennett 25 2001 A maximum principle for hypersurfaces with constant scalar curvature and applications. Zbl 1237.53044 Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 24 2012 Compact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 0885.53059 Alías, Luis; Romero, Alfonso; Sánchez, Miguel 23 1995 On the scalar curvature of constant mean curvature hypersurfaces in space forms. Zbl 1182.53052 Alías, Luis J.; García-Martínez, S. Carolina 21 2010 A maximum principle at infinity with applications to geometric vector fields. Zbl 1414.53028 Alías, L. J.; Caminha, A.; do Nascimento, F. Y. 21 2019 Integral formulas for compact spacelike \(n\)-submanifolds in de Sitter spaces. Applications to the parallel mean curvature vector case. Zbl 0838.53043 Alías, Luis J.; Romero, Alfonso 20 1995 A spectral characterization of the \(H(r)\)-torus by the first stability eigenvalue. Zbl 1065.53046 Alías, Luis J.; Barros, Abdênago; Brasil, Aldir jun. 20 2005 Mean curvature flow solitons in the presence of conformal vector fields. Zbl 1436.53066 Alías, Luis J.; de Lira, Jorge H.; Rigoli, Marco 20 2020 On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space. Zbl 0991.53037 Aledo, Juan A.; Alías, Luis J. 19 2000 On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms. Zbl 1038.53061 Alías, Luis J.; Malacarne, J. Miguel 18 2004 Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms. Zbl 0947.53031 Alías, Luis J.; Palmer, Bennett 16 1998 On the stability index of hypersurfaces with constant mean curvature in spheres. Zbl 1157.53030 Alías, Luis J.; Brasil, Aldir jun.; Perdomo, Oscar 15 2007 On the Gauss map of \(B\)-scrolls. Zbl 0915.53030 Alías, Luis J.; Ferrández, Angel; Lucas, Pascual; Meroño, Miguel A. 15 1998 Constant mean curvature spacelike hypersurfaces with spherical boundary in the Lorentz-Minkowski space. Zbl 0945.53036 Alías, Luis J.; Pastor, José A. 15 1998 The mean curvature of cylindrically bounded submanifolds. Zbl 1200.53050 Alías, Luis J.; Bessa, G. Pacelli; Dajczer, Marcos 14 2009 A maximum principle related to volume growth and applications. Zbl 1469.53104 Alías, Luis J.; Caminha, Antonio; Nascimento, F. Yure do 14 2021 On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space. Zbl 0999.53018 Aledo, Juan A.; Alías, Luis J. 13 2002 A new proof of Liebmann classical rigidity theorem for surfaces in space forms. Zbl 1100.53003 Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 13 2005 Uniqueness of spacelike hypersurfaces with constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 1028.53073 Alías, Luis J.; Montiel, Sebastián 13 2002 On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Zbl 1294.53054 Alías, Luis J.; Colares, Antonio Gervásio; de Lima, Henrique F. 13 2013 On the stability index of minimal and constant mean curvature hypersurfaces in spheres. Zbl 1139.53029 Alías, Luis J. 12 2006 Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Zbl 1103.52006 Alías, Luis J.; Kurose, Takashi; Solanes, Gil 12 2006 Uniqueness of entire graphs in warped products. Zbl 1318.53058 Alías, Luis J.; Colares, A. Gervasio; de Lima, Henrique F. 12 2015 A general form of the weak maximum principle and some applications. Zbl 1296.58009 Albanese, Guglielmo; Alías, Luis J.; Rigoli, Marco 12 2013 Biharmonic hypersurfaces in complete Riemannian manifolds. Zbl 1278.53059 Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 12 2013 Parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1218.53062 Albujer, Alma L.; Alías, Luis J. 11 2011 Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying \(\Delta x = Ax + B\). Zbl 0769.53009 Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 11 1992 Hypersurfaces in space forms satisfying the condition \(\Delta x = Ax + B\). Zbl 0829.53050 Alías, Luis J.; Ferrández, Ángel; Lucas, Pascual 10 1995 A duality result between the minimal surface equation and the maximal surface equation. Zbl 0999.53007 Alías, Luis J.; Palmer, Bennett 10 2001 Zero mean curvature surfaces with non-negative curvature in flat Lorentzian \(4\)-spaces. Zbl 0970.53034 Alías, Luis J.; Palmer, Bennett 10 1999 On the Gaussian curvature of maximal surfaces in \(n\)-dimensional generalized Robertson-Walker spacetimes. Zbl 0974.53046 Alías, Luis J.; Estudillo, Francisco J. M.; Romero, Alfonso 10 1996 Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere. Zbl 1452.53051 Alías, Luis J.; Meléndez, Josué 10 2020 2-type surfaces in \(S_ 1^ 3\) and \(H_ 1^ 3\). Zbl 0824.53050 Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 9 1994 Conformal geometry of surfaces in Lorentzian space forms. Zbl 0863.53037 Alías, L. J.; Palmer, B. 9 1996 Stable constant mean curvature surfaces with circular boundary. Zbl 0938.53007 Alías, Luis J.; López, Rafael; Palmer, Bennett 9 1999 Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space. Zbl 0934.53040 Alías, Luis J.; López, Rafael; Pastor, José A. 9 1998 Spacelike submanifolds with parallel mean curvature in pseudo-Riemannian space forms. Zbl 0906.53042 Alías, Luís J.; Estudillo, Francisco J. M.; Romero, Alfonso 9 1997 Hypersurfaces in space forms satisfying the condition \(L_kx=Ax+b\). Zbl 1221.53085 Alías, Luis J.; Kashani, M. B. 9 2010 Normal geodesic graphs of constant mean curvature. Zbl 1119.53040 Alías, Luis J.; Dajczer, Marcos 8 2007 The Dirichlet problem for constant mean curvature surfaces in Heisenberg space. Zbl 1210.53010 Alías, Luis J.; Dajczer, Marcos; Rosenberg, Harold 8 2007 Constant mean curvature graphs in a class of warped product spaces. Zbl 1136.53047 Alías, Luis J.; Dajczer, Marcos 8 2008 An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms. Zbl 1232.53046 Alías, Luis J.; García-Martínez, S. Carolina 8 2012 Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space. Zbl 1387.53081 Alías, Luis J.; de Lima, Henrique F.; dos Santos, Fábio R. 8 2018 Hypersurfaces with constant scalar curvature in space forms. Zbl 1387.53069 Alías, Luis J.; Meléndez, Josué; Palmas, Oscar 8 2018 Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time. Zbl 1013.53035 Alías, Luis J.; Malacarne, J. Miguel 8 2002 Deformations of stationary surfaces. Zbl 0891.53043 Alías, Luis J.; Palmer, Bennett 8 1997 New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. Zbl 1377.53077 Alías, Luis; de Lima, Henrique F.; dos Santos, Fábio R. 8 2018 Marginally trapped submanifolds in generalized Robertson-Walker spacetimes. Zbl 1358.83084 Alías, Luis J.; Cánovas, Verónica L.; Colares, A. Gervasio 8 2017 A characterization of quadric constant mean curvature hypersurfaces of spheres. Zbl 1151.53053 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 8 2008 Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds. Zbl 1350.53078 Alías, Luis J.; De Lima, Henrique F.; Meléndez, Josué; Dos Santos, Fábio R. 8 2016 A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\). Zbl 1013.53004 Alías, Luis J.; Mira, Pablo 7 2002 Hypersurfaces with constant mean curvature and two principal curvatures in \(\mathbb{S}^{n+1}\). Zbl 1073.53071 Alías, Luis J.; de Almeida, Sebastião C.; Brasil, Aldir jun. 7 2004 Submanifolds in pseudo-Euclidean spaces satisfying the condition \({\Delta}x=Ax+B\). Zbl 0755.53012 Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 7 1992 Hypersurfaces with constant higher order mean curvature in Euclidean space. Zbl 1343.53054 Alías, Luis J.; Meléndez, Josué 7 2016 Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space. Zbl 1430.53060 Alías, Luis J.; Meléndez, Josué 7 2019 An estimate for the sectional curvature of cylindrically bounded submanifolds. Zbl 1277.53047 Alías, Luis J.; Bessa, G. Pacelli; Montenegro, J. Fabio 7 2012 Higher order mean curvature estimates for bounded complete hypersurfaces. Zbl 1304.53050 Alías, L. J.; Dajczer, M.; Rigoli, M. 7 2013 Bifurcation of constant mean curvature tori in Euclidean spheres. Zbl 1277.58019 Alías, Luis J.; Piccione, Paolo 7 2013 Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space. Zbl 0956.83010 Alías, Luis J.; Pastor, José A. 6 1999 On the Ricci curvature of compact spacelike hypersurfaces in de Sitter space. Zbl 0940.53030 Alías, Luis J. 6 1999 On the manifold structure of the set of unparameterized embeddings with low regularity. Zbl 1245.58007 Alías, Luis J.; Piccione, Paolo 6 2011 Spacelike hypersurfaces of constant mean curvature in spacetimes with symmetries. Zbl 0984.53025 Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 6 2000 A congruence theorem for compact spacelike surfaces in de Sitter space. Zbl 1015.53002 Alías, Luis J. 6 2001 On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds. Zbl 1316.53062 Alías, Luis J.; Meroño, Miguel A.; Ortiz, Irene 6 2015 On the scalar curvature of hypersurfaces in spaces with a Killing field. Zbl 1194.53018 Albujer, Alma L.; Aledo, Juan A.; Alías, Luis J. 6 2010 On the curvatures of complete spacelike hypersurfaces in de Sitter space. Zbl 0969.53034 Aledo, Juan A.; Alías, Luis J. 5 2000 A characterization of Clifford tori with constant scalar curvature one by the first stability eigenvalue. Zbl 1068.53042 Alías, Luis J.; Brasil, Aldir jun.; Sousa, Luiz A. M. jun. 5 2004 A new open form of the weak maximum principle and geometric applications. Zbl 1348.58010 Alías, Luis J.; Miranda, Juliana F. R.; Rigoli, Marco 5 2016 Trapped submanifolds contained into a null hypersurface of de Sitter spacetime. Zbl 1406.35399 Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 5 2018 Curvature properties of compact spacelike hypersurfaces in de Sitter space. Zbl 0991.53043 Aledo, Juan A.; Alías, Luis J. 4 2001 Spacelike hypersurfaces with constant scalar curvature in the Lorentz-Minkowski space. Zbl 0949.53040 Alías, Luis J.; Pastor, José A. 4 2000 Calabi-Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1282.53051 Albujer, Alma L.; Alías, Luis J. 4 2013 Geometric analysis of Lorentzian distance function on spacelike hypersurfaces. Zbl 1242.53087 Alías, Luis J.; Hurtado, Ana; Palmer, Vicente 4 2010 Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone. Zbl 1433.53082 Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 4 2019 A local estimate for maximal surfaces in Lorentzian product spaces. Zbl 1195.53077 Albujer, A. L.; Alías, L. J. 3 2008 Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field. Zbl 0824.53063 Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 3 1995 A mean curvature estimate for cylindrically bounded submanifolds. Zbl 1238.53033 Alías, Luis J.; Dajczer, Marcos 3 2011 Stable constant mean curvature hypersurfaces in the real projective space. Zbl 1111.53010 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 3 2006 Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature. Zbl 0988.53007 Alías, Luis J.; Koh, Sung-Eun 3 2001 Constant scalar curvature hypersurfaces with spherical boundary in Euclidean space. Zbl 1038.53060 Alías, Luis J.; Malacarne, J. Miguel 3 2002 A new approach to minimal and maximal hypersurfaces in product spaces. Zbl 1418.53064 Alarcón, Eva M.; Alías, Luis J.; dos Santos, Fábio R. 3 2019 A further characterization of ellipsoids. Zbl 1089.53008 Alías, Luis J.; Colares, A. Gervasio 2 2005 Addendum to “Spacelike hypersurfaces with constant higher order mean curvature in the Minkowski space-time”. Zbl 1023.53053 Aledo, Juan A.; Alías, Luis J.; Malacarne, J. Miguel; Pastor, José A. 2 2002 A maximum principle related to volume growth and applications. Zbl 1469.53104 Alías, Luis J.; Caminha, Antonio; Nascimento, F. Yure do 14 2021 Mean curvature flow solitons in the presence of conformal vector fields. Zbl 1436.53066 Alías, Luis J.; de Lira, Jorge H.; Rigoli, Marco 20 2020 Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere. Zbl 1452.53051 Alías, Luis J.; Meléndez, Josué 10 2020 A maximum principle at infinity with applications to geometric vector fields. Zbl 1414.53028 Alías, L. J.; Caminha, A.; do Nascimento, F. Y. 21 2019 Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space. Zbl 1430.53060 Alías, Luis J.; Meléndez, Josué 7 2019 Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone. Zbl 1433.53082 Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 4 2019 A new approach to minimal and maximal hypersurfaces in product spaces. Zbl 1418.53064 Alarcón, Eva M.; Alías, Luis J.; dos Santos, Fábio R. 3 2019 Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space. Zbl 1387.53081 Alías, Luis J.; de Lima, Henrique F.; dos Santos, Fábio R. 8 2018 Hypersurfaces with constant scalar curvature in space forms. Zbl 1387.53069 Alías, Luis J.; Meléndez, Josué; Palmas, Oscar 8 2018 New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. Zbl 1377.53077 Alías, Luis; de Lima, Henrique F.; dos Santos, Fábio R. 8 2018 Trapped submanifolds contained into a null hypersurface of de Sitter spacetime. Zbl 1406.35399 Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 5 2018 Marginally trapped submanifolds in generalized Robertson-Walker spacetimes. Zbl 1358.83084 Alías, Luis J.; Cánovas, Verónica L.; Colares, A. Gervasio 8 2017 On the scarcity of non-totally geodesic complete spacelike hypersurfaces of constant mean curvature in a Lie group with bi-invariant Lorentzian metric. Zbl 1425.53073 Alías, L. J.; Caminha, A. 1 2017 Maximum principles and geometric applications. Zbl 1346.58001 Alías, Luis J.; Mastrolia, Paolo; Rigoli, Marco 108 2016 Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds. Zbl 1350.53078 Alías, Luis J.; De Lima, Henrique F.; Meléndez, Josué; Dos Santos, Fábio R. 8 2016 Hypersurfaces with constant higher order mean curvature in Euclidean space. Zbl 1343.53054 Alías, Luis J.; Meléndez, Josué 7 2016 A new open form of the weak maximum principle and geometric applications. Zbl 1348.58010 Alías, Luis J.; Miranda, Juliana F. R.; Rigoli, Marco 5 2016 Geometric elliptic functionals and mean curvature. Zbl 1339.49038 Alías, Luis J.; de Lira, Jorge H. S.; Rigoli, Marco 2 2016 Geometric analysis of the Lorentzian distance function on trapped submanifolds. Zbl 1342.83020 Alías, Luis J.; Bessa, G. Pacelli; De Lira, Jorge H. S. 1 2016 Uniqueness of entire graphs in warped products. Zbl 1318.53058 Alías, Luis J.; Colares, A. Gervasio; de Lima, Henrique F. 12 2015 On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds. Zbl 1316.53062 Alías, Luis J.; Meroño, Miguel A.; Ortiz, Irene 6 2015 Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes. Zbl 1328.53066 Alías, Luis J.; Rigoli, Marco; Scoleri, Simona 2 2015 Hypersurfaces of constant higher order mean curvature in warped products. Zbl 1276.53064 Alías, Luis J.; Impera, Debora; Rigoli, Marco 43 2013 On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Zbl 1294.53054 Alías, Luis J.; Colares, Antonio Gervásio; de Lima, Henrique F. 13 2013 A general form of the weak maximum principle and some applications. Zbl 1296.58009 Albanese, Guglielmo; Alías, Luis J.; Rigoli, Marco 12 2013 Biharmonic hypersurfaces in complete Riemannian manifolds. Zbl 1278.53059 Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 12 2013 Higher order mean curvature estimates for bounded complete hypersurfaces. Zbl 1304.53050 Alías, L. J.; Dajczer, M.; Rigoli, M. 7 2013 Bifurcation of constant mean curvature tori in Euclidean spheres. Zbl 1277.58019 Alías, Luis J.; Piccione, Paolo 7 2013 Calabi-Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1282.53051 Albujer, Alma L.; Alías, Luis J. 4 2013 Erratum to “Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes”. Zbl 1272.53050 Alías, Luis J.; Impera, Debora; Rigoli, Marco 2 2013 Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1241.53051 Alías, Luis J.; Impera, Debora; Rigoli, Marco 30 2012 A maximum principle for hypersurfaces with constant scalar curvature and applications. Zbl 1237.53044 Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 24 2012 An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms. Zbl 1232.53046 Alías, Luis J.; García-Martínez, S. Carolina 8 2012 An estimate for the sectional curvature of cylindrically bounded submanifolds. Zbl 1277.53047 Alías, Luis J.; Bessa, G. Pacelli; Montenegro, J. Fabio 7 2012 Parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1218.53062 Albujer, Alma L.; Alías, Luis J. 11 2011 On the manifold structure of the set of unparameterized embeddings with low regularity. Zbl 1245.58007 Alías, Luis J.; Piccione, Paolo 6 2011 A mean curvature estimate for cylindrically bounded submanifolds. Zbl 1238.53033 Alías, Luis J.; Dajczer, Marcos 3 2011 Curvature estimates for submanifolds in warped products. Zbl 1256.53039 Alías, L. J.; Bessa, G. P.; Montenegro, J. F.; Piccione, P. 2 2011 On the scalar curvature of constant mean curvature hypersurfaces in space forms. Zbl 1182.53052 Alías, Luis J.; García-Martínez, S. Carolina 21 2010 Hypersurfaces in space forms satisfying the condition \(L_kx=Ax+b\). Zbl 1221.53085 Alías, Luis J.; Kashani, M. B. 9 2010 On the scalar curvature of hypersurfaces in spaces with a Killing field. Zbl 1194.53018 Albujer, Alma L.; Aledo, Juan A.; Alías, Luis J. 6 2010 Geometric analysis of Lorentzian distance function on spacelike hypersurfaces. Zbl 1242.53087 Alías, Luis J.; Hurtado, Ana; Palmer, Vicente 4 2010 Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces. Zbl 1173.53025 Albujer, Alma L.; Alías, Luis J. 45 2009 Spacelike hypersurfaces with constant mean curvature in the steady state space. Zbl 1162.53043 Albujer, Alma L.; Alías, Luis J. 31 2009 The mean curvature of cylindrically bounded submanifolds. Zbl 1200.53050 Alías, Luis J.; Bessa, G. Pacelli; Dajczer, Marcos 14 2009 A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in \(\mathbb H^{2} \times \mathbb R_{1}\). Zbl 1187.53061 Albujer, Alma L.; Alías, Luis J. 2 2009 Constant mean curvature graphs in a class of warped product spaces. Zbl 1136.53047 Alías, Luis J.; Dajczer, Marcos 8 2008 A characterization of quadric constant mean curvature hypersurfaces of spheres. Zbl 1151.53053 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 8 2008 A local estimate for maximal surfaces in Lorentzian product spaces. Zbl 1195.53077 Albujer, A. L.; Alías, L. J. 3 2008 Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1131.53035 Alías, Luis J.; Colares, A. Gervasio 70 2007 Constant mean curvature hypersurfaces in warped product spaces. Zbl 1141.53051 Alías, Luis J.; Dajczer, Marcos 42 2007 A Bernstein-type theorem for Riemannian manifolds with a Killing field. Zbl 1125.53005 Alías, Luis J.; Dajczer, Marcos; Ripoll, Jaime 37 2007 On the stability index of hypersurfaces with constant mean curvature in spheres. Zbl 1157.53030 Alías, Luis J.; Brasil, Aldir jun.; Perdomo, Oscar 15 2007 Normal geodesic graphs of constant mean curvature. Zbl 1119.53040 Alías, Luis J.; Dajczer, Marcos 8 2007 The Dirichlet problem for constant mean curvature surfaces in Heisenberg space. Zbl 1210.53010 Alías, Luis J.; Dajczer, Marcos; Rosenberg, Harold 8 2007 An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures. Zbl 1119.53004 Alías, Luis J.; Gürbüz, Nevin 44 2006 Constant higher-order mean curvature hypersurfaces in Riemannian spaces. Zbl 1118.53038 Alías, Luis J.; De Lira, Jorge H. S.; Malacarne, J. Miguel 37 2006 Uniqueness of constant mean curvature surfaces properly immersed in a slab. Zbl 1110.53039 Alías, Luis J.; Dajczer, Marcos 26 2006 On the stability index of minimal and constant mean curvature hypersurfaces in spheres. Zbl 1139.53029 Alías, Luis J. 12 2006 Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Zbl 1103.52006 Alías, Luis J.; Kurose, Takashi; Solanes, Gil 12 2006 Stable constant mean curvature hypersurfaces in the real projective space. Zbl 1111.53010 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 3 2006 A spectral characterization of the \(H(r)\)-torus by the first stability eigenvalue. Zbl 1065.53046 Alías, Luis J.; Barros, Abdênago; Brasil, Aldir jun. 20 2005 A new proof of Liebmann classical rigidity theorem for surfaces in space forms. Zbl 1100.53003 Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 13 2005 A further characterization of ellipsoids. Zbl 1089.53008 Alías, Luis J.; Colares, A. Gervasio 2 2005 On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms. Zbl 1038.53061 Alías, Luis J.; Malacarne, J. Miguel 18 2004 Hypersurfaces with constant mean curvature and two principal curvatures in \(\mathbb{S}^{n+1}\). Zbl 1073.53071 Alías, Luis J.; de Almeida, Sebastião C.; Brasil, Aldir jun. 7 2004 A characterization of Clifford tori with constant scalar curvature one by the first stability eigenvalue. Zbl 1068.53042 Alías, Luis J.; Brasil, Aldir jun.; Sousa, Luiz A. M. jun. 5 2004 Integral formulae for spacelike hypersurfaces in conformally stationary spacetimes and applications. Zbl 1053.53038 Alías, Luis J.; Brasil, Aldir jun.; Colares, A. Gervasio 65 2003 Björling problem for maximal surfaces in Lorentz-Minkowski space. Zbl 1027.53063 Alías, Luis J.; Chaves, Rosa M. B.; Mira, Pablo 35 2003 An integral formula for compact hypersurfaces in space forms and its applications. Zbl 1043.53043 Alías, Luis J. 1 2003 On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space. Zbl 0999.53018 Aledo, Juan A.; Alías, Luis J. 13 2002 Uniqueness of spacelike hypersurfaces with constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 1028.53073 Alías, Luis J.; Montiel, Sebastián 13 2002 Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time. Zbl 1013.53035 Alías, Luis J.; Malacarne, J. Miguel 8 2002 A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\). Zbl 1013.53004 Alías, Luis J.; Mira, Pablo 7 2002 Constant scalar curvature hypersurfaces with spherical boundary in Euclidean space. Zbl 1038.53060 Alías, Luis J.; Malacarne, J. Miguel 3 2002 Addendum to “Spacelike hypersurfaces with constant higher order mean curvature in the Minkowski space-time”. Zbl 1023.53053 Aledo, Juan A.; Alías, Luis J.; Malacarne, J. Miguel; Pastor, José A. 2 2002 On the Gaussian curvature of maximal surfaces and the Calabi-Bernstein theorem. Zbl 1041.53038 Alías, Luis J.; Palmer, Bennett 25 2001 A duality result between the minimal surface equation and the maximal surface equation. Zbl 0999.53007 Alías, Luis J.; Palmer, Bennett 10 2001 A congruence theorem for compact spacelike surfaces in de Sitter space. Zbl 1015.53002 Alías, Luis J. 6 2001 Curvature properties of compact spacelike hypersurfaces in de Sitter space. Zbl 0991.53043 Aledo, Juan A.; Alías, Luis J. 4 2001 Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature. Zbl 0988.53007 Alías, Luis J.; Koh, Sung-Eun 3 2001 Stability of zero mean curvature surfaces in flat Lorentzian 4-manifolds. Zbl 1026.53033 Alías, Luis J.; Palmer, Bennett 1 2001 On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space. Zbl 0991.53037 Aledo, Juan A.; Alías, Luis J. 19 2000 Spacelike hypersurfaces of constant mean curvature in spacetimes with symmetries. Zbl 0984.53025 Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 6 2000 On the curvatures of complete spacelike hypersurfaces in de Sitter space. Zbl 0969.53034 Aledo, Juan A.; Alías, Luis J. 5 2000 Spacelike hypersurfaces with constant scalar curvature in the Lorentz-Minkowski space. Zbl 0949.53040 Alías, Luis J.; Pastor, José A. 4 2000 Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature. Zbl 0969.53031 Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 34 1999 Zero mean curvature surfaces with non-negative curvature in flat Lorentzian \(4\)-spaces. Zbl 0970.53034 Alías, Luis J.; Palmer, Bennett 10 1999 Stable constant mean curvature surfaces with circular boundary. Zbl 0938.53007 Alías, Luis J.; López, Rafael; Palmer, Bennett 9 1999 Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space. Zbl 0956.83010 Alías, Luis J.; Pastor, José A. 6 1999 On the Ricci curvature of compact spacelike hypersurfaces in de Sitter space. Zbl 0940.53030 Alías, Luis J. 6 1999 Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms. Zbl 0947.53031 Alías, Luis J.; Palmer, Bennett 16 1998 On the Gauss map of \(B\)-scrolls. Zbl 0915.53030 Alías, Luis J.; Ferrández, Angel; Lucas, Pascual; Meroño, Miguel A. 15 1998 Constant mean curvature spacelike hypersurfaces with spherical boundary in the Lorentz-Minkowski space. Zbl 0945.53036 Alías, Luis J.; Pastor, José A. 15 1998 Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space. Zbl 0934.53040 Alías, Luis J.; López, Rafael; Pastor, José A. 9 1998 Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems. Zbl 0912.53046 Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 55 1997 Spacelike hypersurfaces of constant mean curvature in certain spacetimes. Zbl 0891.53050 Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 33 1997 Spacelike submanifolds with parallel mean curvature in pseudo-Riemannian space forms. Zbl 0906.53042 Alías, Luís J.; Estudillo, Francisco J. M.; Romero, Alfonso 9 1997 Deformations of stationary surfaces. Zbl 0891.53043 Alías, Luis J.; Palmer, Bennett 8 1997 On the Gaussian curvature of maximal surfaces in \(n\)-dimensional generalized Robertson-Walker spacetimes. Zbl 0974.53046 Alías, Luis J.; Estudillo, Francisco J. M.; Romero, Alfonso 10 1996 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 629 Authors 161 de Lima, Henrique F. 59 Velásquez, Marco Antonio Lázaro 46 Alías, Luis J. 42 Rubio, Rafael María 41 Romero, Alfonso 38 Dos Santos, Fábio Reis 28 Aquino, Cicero Pedro 26 Aledo, Juan Ángel 26 de Lima, Eudes Leite 26 De, Uday Chand 25 Rigoli, Marco 20 Lima, Eraldo Almeida jun. 18 López Camino, Rafael 17 Albujer, Alma L. 16 Pashaie, Firooz 15 Santos, Márcio S. 14 Araújo, Jogli G. 14 Batista, Márcio 13 Cunha, Antonio Wilson 13 de Lira, Jorge Herbert Soares 13 Pelegrín, José A. S. 12 Caminha, Antonio 12 Meléndez, Josué 12 Oliveira, Arlandson Matheus Silva 11 Colares, Antonio Gervásio 11 Mantica, Carlo Alberto 11 Salamanca, Juan Jesús 10 Caballero, Magdalena 10 Dajczer, Marcos 10 Molinari, Luca Guido 10 Palmas, Oscar 9 Kim, Youngho 9 Bessa, Gregório Pacelli 9 Palomo, Francisco J. 9 Suh, Young Jin 8 Camargo, Fernanda Ester Camillo 8 Colombo, Giulio 8 Gálvez, Jose Antonio 8 Liu, Ximin 8 Meroño Bayo, Miguel Angel 8 Mira, Pablo 8 Rocha, Lucas S. 7 Chaubey, Sudhakar Kumar 7 de la Fuente, Daniel 7 Fu, Yu 7 Gomes, Wallace F. 7 Herrera, Jónatan 7 Impera, Debora 7 Lucas, Pascual 7 Ma, Xiang 7 Piccione, Paolo 7 Pyo, Juncheol 7 Roth, Julien 7 Sánchez Caja, Miguel 6 Barboza, Weiller F. C. 6 Barros, Abdênago A. 6 Chaves, Rosa Maria Barreiro 6 Chen, Bang-Yen 6 da Silva, Jonatan Floriano 6 Gomes, José Nazareno Vieira 6 Ma, Ruyun 6 Mari, Luciano 6 Mastrolia, Paolo 6 Medeiros, Adriano A. 6 Mohammadpouri, Akram 6 Perdomo, Oscar Mario 6 Wang, Peng 6 Yoon, Dae Won 5 Aminian, Mehran 5 Chaves Brasil Junior, Aldir 5 de Almeida Cavalcante, Marcos Petrúcio 5 de Lima, Joseilson R. 5 De, Krishnendu 5 Dussan, Martha P. 5 Girão, Frederico 5 Gutiérrez, Manuel 5 Jleli, Mohamed Boussairi 5 Kaya, Seher 5 Li, Guanghan 5 Monticelli, Dario Daniele 5 Olea, Benjamín 5 Ou, Ye-Lin 5 Pessoa, Leandro F. 5 Punzo, Fabio 5 Ramalho, André F. A. 5 Ramírez-Ospina, Héctor-Fabián 5 Samet, Bessem 5 Shenawy, Sameh 4 Antonia, Railane 4 Baltazar, Halyson I. 4 Bettiol, Renato G. 4 Cánovas, Verónica L. 4 Catino, Giovanni 4 da Silva, Danilo F. 4 Dai, Guowei 4 Deszcz, Ryszard 4 Duggal, Krishan Lal 4 García-Martínez, S. Carolina 4 Güler, Erhan 4 Kim, Dongsoo S. ...and 529 more Authors all top 5 Cited in 190 Serials 62 Journal of Geometry and Physics 42 Differential Geometry and its Applications 37 The Journal of Geometric Analysis 35 Journal of Mathematical Analysis and Applications 28 Annals of Global Analysis and Geometry 23 Mediterranean Journal of Mathematics 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Results in Mathematics 20 General Relativity and Gravitation 19 Annali di Matematica Pura ed Applicata. Serie Quarta 19 Proceedings of the American Mathematical Society 18 International Journal of Geometric Methods in Modern Physics 15 Journal of Mathematical Physics 15 Bulletin of the Brazilian Mathematical Society. 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Scienze Matematiche 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Mathematical Extension 3 ISRN Geometry 3 Journal of Mahani Mathematical Research Center 3 Sahand Communications in Mathematical Analysis 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Anais da Academia Brasileira de Ciências 2 Annales Polonici Mathematici 2 Archivum Mathematicum 2 Colloquium Mathematicum 2 Commentationes Mathematicae Universitatis Carolinae 2 Illinois Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Kyungpook Mathematical Journal 2 Osaka Journal of Mathematics 2 Quaestiones Mathematicae 2 Facta Universitatis. Series Mathematics and Informatics 2 Asymptotic Analysis 2 Science in China. Series A 2 SIAM Journal on Mathematical Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Advances in Applied Clifford Algebras ...and 90 more Serials all top 5 Cited in 26 Fields 804 Differential geometry (53-XX) 127 Partial differential equations (35-XX) 115 Global analysis, analysis on manifolds (58-XX) 105 Relativity and gravitational theory (83-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 9 Potential theory (31-XX) 9 Ordinary differential equations (34-XX) 7 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 6 Fluid mechanics (76-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) Citations by Year