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: 126 Publications since 1992, including 2 Books Reviewing Activity: 28 Reviews Co-Authors: 54 Co-Authors with 121 Joint Publications 505 Co-Co-Authors all top 5 Co-Authors 5 single-authored 15 Rigoli, Marco 13 Romero, Alfonso 10 Palmer, Bennett 9 Aledo, Juan Ángel 9 Dajczer, Marcos 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 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 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 4 Classical and Quantum Gravity 4 Pacific Journal of Mathematics 4 Transactions of the American Mathematical Society 4 The Journal of Geometric Analysis 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 125 Differential geometry (53-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Relativity and gravitational theory (83-XX) 6 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 1,630 times in 817 Documents Cited by ▼ Year ▼ Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 0908.53034Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 176 1995 Maximum principles and geometric applications. Zbl 1346.58001Alías, Luis J.; Mastrolia, Paolo; Rigoli, Marco 96 2016 Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1131.53035Alías, Luis J.; Colares, A. Gervasio 65 2007 Integral formulae for spacelike hypersurfaces in conformally stationary spacetimes and applications. Zbl 1053.53038Alías, Luis J.; Brasil, Aldir jun.; Colares, A. Gervasio 60 2003 Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems. Zbl 0912.53046Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 53 1997 Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces. Zbl 1173.53025Albujer, Alma L.; Alías, Luis J. 43 2009 Hypersurfaces of constant higher order mean curvature in warped products. Zbl 1276.53064Alías, Luis J.; Impera, Debora; Rigoli, Marco 41 2013 An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures. Zbl 1119.53004Alías, Luis J.; Gürbüz, Nevin 40 2006 Constant mean curvature hypersurfaces in warped product spaces. Zbl 1141.53051Alías, Luis J.; Dajczer, Marcos 39 2007 Constant higher-order mean curvature hypersurfaces in Riemannian spaces. Zbl 1118.53038Alías, Luis J.; De Lira, Jorge H. S.; Malacarne, J. Miguel 36 2006 A Bernstein-type theorem for Riemannian manifolds with a Killing field. Zbl 1125.53005Alías, Luis J.; Dajczer, Marcos; Ripoll, Jaime 36 2007 Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature. Zbl 0969.53031Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 34 1999 Björling problem for maximal surfaces in Lorentz-Minkowski space. Zbl 1027.53063Alías, Luis J.; Chaves, Rosa M. B.; Mira, Pablo 34 2003 Spacelike hypersurfaces of constant mean curvature in certain spacetimes. Zbl 0891.53050Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 32 1997 Spacelike hypersurfaces with constant mean curvature in the steady state space. Zbl 1162.53043Albujer, Alma L.; Alías, Luis J. 29 2009 Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1241.53051Alías, Luis J.; Impera, Debora; Rigoli, Marco 27 2012 On the Gaussian curvature of maximal surfaces and the Calabi-Bernstein theorem. Zbl 1041.53038Alías, Luis J.; Palmer, Bennett 25 2001 A maximum principle for hypersurfaces with constant scalar curvature and applications. Zbl 1237.53044Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 24 2012 Uniqueness of constant mean curvature surfaces properly immersed in a slab. Zbl 1110.53039Alías, Luis J.; Dajczer, Marcos 23 2006 Compact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 0885.53059Alías, Luis; Romero, Alfonso; Sánchez, Miguel 21 1995 On the scalar curvature of constant mean curvature hypersurfaces in space forms. Zbl 1182.53052Alías, Luis J.; García-Martínez, S. Carolina 21 2010 A spectral characterization of the \(H(r)\)-torus by the first stability eigenvalue. Zbl 1065.53046Alías, Luis J.; Barros, Abdênago; Brasil, Aldir jun. 20 2005 On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space. Zbl 0991.53037Aledo, Juan A.; Alías, Luis J. 19 2000 Integral formulas for compact spacelike \(n\)-submanifolds in de Sitter spaces. Applications to the parallel mean curvature vector case. Zbl 0838.53043Alías, Luis J.; Romero, Alfonso 18 1995 On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms. Zbl 1038.53061Alías, Luis J.; Malacarne, J. Miguel 18 2004 Mean curvature flow solitons in the presence of conformal vector fields. Zbl 1436.53066Alías, Luis J.; de Lira, Jorge H.; Rigoli, Marco 15 2020 Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms. Zbl 0947.53031Alías, Luis J.; Palmer, Bennett 15 1998 On the Gauss map of \(B\)-scrolls. Zbl 0915.53030Alías, 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 0945.53036Alías, Luis J.; Pastor, José A. 15 1998 On the stability index of hypersurfaces with constant mean curvature in spheres. Zbl 1157.53030Alías, Luis J.; Brasil, Aldir jun.; Perdomo, Oscar 15 2007 The mean curvature of cylindrically bounded submanifolds. Zbl 1200.53050Alías, Luis J.; Bessa, G. Pacelli; Dajczer, Marcos 14 2009 A maximum principle at infinity with applications to geometric vector fields. Zbl 1414.53028Alías, L. J.; Caminha, A.; do Nascimento, F. Y. 13 2019 A new proof of Liebmann classical rigidity theorem for surfaces in space forms. Zbl 1100.53003Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 13 2005 On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space. Zbl 0999.53018Aledo, Juan A.; Alías, Luis J. 13 2002 Uniqueness of spacelike hypersurfaces with constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 1028.53073Alías, Luis J.; Montiel, Sebastián 13 2002 Biharmonic hypersurfaces in complete Riemannian manifolds. Zbl 1278.53059Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 12 2013 On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Zbl 1294.53054Alías, Luis J.; Colares, Antonio Gervásio; de Lima, Henrique F. 12 2013 A general form of the weak maximum principle and some applications. Zbl 1296.58009Albanese, Guglielmo; Alías, Luis J.; Rigoli, Marco 12 2013 On the stability index of minimal and constant mean curvature hypersurfaces in spheres. Zbl 1139.53029Alías, Luis J. 12 2006 Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Zbl 1103.52006Alías, Luis J.; Kurose, Takashi; Solanes, Gil 12 2006 Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying \(\Delta x = Ax + B\). Zbl 0769.53009Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 11 1992 Uniqueness of entire graphs in warped products. Zbl 1318.53058Alías, Luis J.; Colares, A. Gervasio; de Lima, Henrique F. 11 2015 Parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1218.53062Albujer, Alma L.; Alías, Luis J. 11 2011 A duality result between the minimal surface equation and the maximal surface equation. Zbl 0999.53007Alías, Luis J.; Palmer, Bennett 10 2001 Zero mean curvature surfaces with non-negative curvature in flat Lorentzian \(4\)-spaces. Zbl 0970.53034Alías, Luis J.; Palmer, Bennett 10 1999 On the Gaussian curvature of maximal surfaces in \(n\)-dimensional generalized Robertson-Walker spacetimes. Zbl 0974.53046Alías, Luis J.; Estudillo, Francisco J. M.; Romero, Alfonso 10 1996 Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space. Zbl 0934.53040Alías, Luis J.; López, Rafael; Pastor, José A. 9 1998 Hypersurfaces in space forms satisfying the condition \(\Delta x = Ax + B\). Zbl 0829.53050Alías, Luis J.; Ferrández, Ángel; Lucas, Pascual 9 1995 Conformal geometry of surfaces in Lorentzian space forms. Zbl 0863.53037Alías, L. J.; Palmer, B. 9 1996 Spacelike submanifolds with parallel mean curvature in pseudo-Riemannian space forms. Zbl 0906.53042Alías, Luís J.; Estudillo, Francisco J. M.; Romero, Alfonso 9 1997 Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere. Zbl 1452.53051Alías, Luis J.; Meléndez, Josué 8 2020 Stable constant mean curvature surfaces with circular boundary. Zbl 0938.53007Alías, Luis J.; López, Rafael; Palmer, Bennett 8 1999 2-type surfaces in \(S_ 1^ 3\) and \(H_ 1^ 3\). Zbl 0824.53050Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 8 1994 The Dirichlet problem for constant mean curvature surfaces in Heisenberg space. Zbl 1210.53010Alías, Luis J.; Dajczer, Marcos; Rosenberg, Harold 8 2007 Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time. Zbl 1013.53035Alías, Luis J.; Malacarne, J. Miguel 8 2002 Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds. Zbl 1350.53078Alías, Luis J.; De Lima, Henrique F.; Meléndez, Josué; Dos Santos, Fábio R. 8 2016 Hypersurfaces in space forms satisfying the condition \(L_kx=Ax+b\). Zbl 1221.53085Alías, Luis J.; Kashani, M. B. 8 2010 Deformations of stationary surfaces. Zbl 0891.53043Alías, Luis J.; Palmer, Bennett 8 1997 A characterization of quadric constant mean curvature hypersurfaces of spheres. Zbl 1151.53053Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 8 2008 Hypersurfaces with constant scalar curvature in space forms. Zbl 1387.53069Alías, Luis J.; Meléndez, Josué; Palmas, Oscar 7 2018 Submanifolds in pseudo-Euclidean spaces satisfying the condition \({\Delta}x=Ax+B\). Zbl 0755.53012Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 7 1992 An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms. Zbl 1232.53046Alías, Luis J.; García-Martínez, S. Carolina 7 2012 Higher order mean curvature estimates for bounded complete hypersurfaces. Zbl 1304.53050Alías, L. J.; Dajczer, M.; Rigoli, M. 7 2013 Bifurcation of constant mean curvature tori in Euclidean spheres. Zbl 1277.58019Alías, Luis J.; Piccione, Paolo 7 2013 An estimate for the sectional curvature of cylindrically bounded submanifolds. Zbl 1277.53047Alías, Luis J.; Bessa, G. Pacelli; Montenegro, J. Fabio 7 2012 Constant mean curvature graphs in a class of warped product spaces. Zbl 1136.53047Alías, Luis J.; Dajczer, Marcos 7 2008 Normal geodesic graphs of constant mean curvature. Zbl 1119.53040Alías, Luis J.; Dajczer, Marcos 7 2007 Hypersurfaces with constant mean curvature and two principal curvatures in \(\mathbb{S}^{n+1}\). Zbl 1073.53071Alías, Luis J.; de Almeida, Sebastião C.; Brasil, Aldir jun. 7 2004 A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\). Zbl 1013.53004Alías, Luis J.; Mira, Pablo 7 2002 Marginally trapped submanifolds in generalized Robertson-Walker spacetimes. Zbl 1358.83084Alías, Luis J.; Cánovas, Verónica L.; Colares, A. Gervasio 7 2017 A maximum principle related to volume growth and applications. Zbl 1469.53104Alías, Luis J.; Caminha, Antonio; Nascimento, F. Yure do 7 2021 Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space. Zbl 1430.53060Alías, Luis J.; Meléndez, Josué 6 2019 On the manifold structure of the set of unparameterized embeddings with low regularity. Zbl 1245.58007Alías, Luis J.; Piccione, Paolo 6 2011 On the scalar curvature of hypersurfaces in spaces with a Killing field. Zbl 1194.53018Albujer, Alma L.; Aledo, Juan A.; Alías, Luis J. 6 2010 New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. Zbl 1377.53077Alías, Luis; de Lima, Henrique F.; dos Santos, Fábio R. 6 2018 A congruence theorem for compact spacelike surfaces in de Sitter space. Zbl 1015.53002Alías, Luis J. 6 2001 Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space. Zbl 0956.83010Alías, Luis J.; Pastor, José A. 6 1999 On the Ricci curvature of compact spacelike hypersurfaces in de Sitter space. Zbl 0940.53030Alías, Luis J. 6 1999 On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds. Zbl 1316.53062Alías, Luis J.; Meroño, Miguel A.; Ortiz, Irene 6 2015 Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space. Zbl 1387.53081Alías, Luis J.; de Lima, Henrique F.; dos Santos, Fábio R. 6 2018 Spacelike hypersurfaces of constant mean curvature in spacetimes with symmetries. Zbl 0984.53025Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 6 2000 Hypersurfaces with constant higher order mean curvature in Euclidean space. Zbl 1343.53054Alías, Luis J.; Meléndez, Josué 6 2016 Trapped submanifolds contained into a null hypersurface of de Sitter spacetime. Zbl 1406.35399Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 5 2018 On the curvatures of complete spacelike hypersurfaces in de Sitter space. Zbl 0969.53034Aledo, Juan A.; Alías, Luis J. 5 2000 A characterization of Clifford tori with constant scalar curvature one by the first stability eigenvalue. Zbl 1068.53042Alías, 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 1348.58010Alías, Luis J.; Miranda, Juliana F. R.; Rigoli, Marco 5 2016 Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone. Zbl 1433.53082Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 4 2019 Geometric analysis of Lorentzian distance function on spacelike hypersurfaces. Zbl 1242.53087Alías, Luis J.; Hurtado, Ana; Palmer, Vicente 4 2010 Calabi-Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1282.53051Albujer, Alma L.; Alías, Luis J. 4 2013 Curvature properties of compact spacelike hypersurfaces in de Sitter space. Zbl 0991.53043Aledo, Juan A.; Alías, Luis J. 4 2001 Spacelike hypersurfaces with constant scalar curvature in the Lorentz-Minkowski space. Zbl 0949.53040Alías, Luis J.; Pastor, José A. 4 2000 A new approach to minimal and maximal hypersurfaces in product spaces. Zbl 1418.53064Alarcón, Eva M.; Alías, Luis J.; dos Santos, Fábio R. 3 2019 A mean curvature estimate for cylindrically bounded submanifolds. Zbl 1238.53033Alías, Luis J.; Dajczer, Marcos 3 2011 A local estimate for maximal surfaces in Lorentzian product spaces. Zbl 1195.53077Albujer, A. L.; Alías, L. J. 3 2008 Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature. Zbl 0988.53007Alías, Luis J.; Koh, Sung-Eun 3 2001 Constant scalar curvature hypersurfaces with spherical boundary in Euclidean space. Zbl 1038.53060Alías, Luis J.; Malacarne, J. Miguel 3 2002 Erratum to “Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes”. Zbl 1272.53050Alías, Luis J.; Impera, Debora; Rigoli, Marco 2 2013 Curvature estimates for submanifolds in warped products. Zbl 1256.53039Alías, L. J.; Bessa, G. P.; Montenegro, J. F.; Piccione, P. 2 2011 Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field. Zbl 0824.53063Alías, Luis J.; Ferrández, Angel; Lucas, Pascual 2 1995 Addendum to “Spacelike hypersurfaces with constant higher order mean curvature in the Minkowski space-time”. Zbl 1023.53053Aledo, Juan A.; Alías, Luis J.; Malacarne, J. Miguel; Pastor, José A. 2 2002 A maximum principle related to volume growth and applications. Zbl 1469.53104Alías, Luis J.; Caminha, Antonio; Nascimento, F. Yure do 7 2021 Mean curvature flow solitons in the presence of conformal vector fields. Zbl 1436.53066Alías, Luis J.; de Lira, Jorge H.; Rigoli, Marco 15 2020 Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere. Zbl 1452.53051Alías, Luis J.; Meléndez, Josué 8 2020 A maximum principle at infinity with applications to geometric vector fields. Zbl 1414.53028Alías, L. J.; Caminha, A.; do Nascimento, F. Y. 13 2019 Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space. Zbl 1430.53060Alías, Luis J.; Meléndez, Josué 6 2019 Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone. Zbl 1433.53082Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 4 2019 A new approach to minimal and maximal hypersurfaces in product spaces. Zbl 1418.53064Alarcón, Eva M.; Alías, Luis J.; dos Santos, Fábio R. 3 2019 Hypersurfaces with constant scalar curvature in space forms. Zbl 1387.53069Alías, Luis J.; Meléndez, Josué; Palmas, Oscar 7 2018 New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. Zbl 1377.53077Alías, Luis; de Lima, Henrique F.; dos Santos, Fábio R. 6 2018 Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space. Zbl 1387.53081Alías, Luis J.; de Lima, Henrique F.; dos Santos, Fábio R. 6 2018 Trapped submanifolds contained into a null hypersurface of de Sitter spacetime. Zbl 1406.35399Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 5 2018 Marginally trapped submanifolds in generalized Robertson-Walker spacetimes. Zbl 1358.83084Alías, Luis J.; Cánovas, Verónica L.; Colares, A. Gervasio 7 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 1425.53073Alías, L. J.; Caminha, A. 1 2017 Maximum principles and geometric applications. Zbl 1346.58001Alías, Luis J.; Mastrolia, Paolo; Rigoli, Marco 96 2016 Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds. Zbl 1350.53078Alías, 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 1343.53054Alías, Luis J.; Meléndez, Josué 6 2016 A new open form of the weak maximum principle and geometric applications. Zbl 1348.58010Alías, Luis J.; Miranda, Juliana F. R.; Rigoli, Marco 5 2016 Geometric elliptic functionals and mean curvature. Zbl 1339.49038Alías, Luis J.; de Lira, Jorge H. S.; Rigoli, Marco 2 2016 Geometric analysis of the Lorentzian distance function on trapped submanifolds. Zbl 1342.83020Alías, Luis J.; Bessa, G. Pacelli; De Lira, Jorge H. S. 1 2016 Uniqueness of entire graphs in warped products. Zbl 1318.53058Alías, Luis J.; Colares, A. Gervasio; de Lima, Henrique F. 11 2015 On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds. Zbl 1316.53062Alías, Luis J.; Meroño, Miguel A.; Ortiz, Irene 6 2015 Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes. Zbl 1328.53066Alías, Luis J.; Rigoli, Marco; Scoleri, Simona 2 2015 Hypersurfaces of constant higher order mean curvature in warped products. Zbl 1276.53064Alías, Luis J.; Impera, Debora; Rigoli, Marco 41 2013 Biharmonic hypersurfaces in complete Riemannian manifolds. Zbl 1278.53059Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 12 2013 On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Zbl 1294.53054Alías, Luis J.; Colares, Antonio Gervásio; de Lima, Henrique F. 12 2013 A general form of the weak maximum principle and some applications. Zbl 1296.58009Albanese, Guglielmo; Alías, Luis J.; Rigoli, Marco 12 2013 Higher order mean curvature estimates for bounded complete hypersurfaces. Zbl 1304.53050Alías, L. J.; Dajczer, M.; Rigoli, M. 7 2013 Bifurcation of constant mean curvature tori in Euclidean spheres. Zbl 1277.58019Alías, Luis J.; Piccione, Paolo 7 2013 Calabi-Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1282.53051Albujer, Alma L.; Alías, Luis J. 4 2013 Erratum to “Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes”. Zbl 1272.53050Alías, Luis J.; Impera, Debora; Rigoli, Marco 2 2013 Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1241.53051Alías, Luis J.; Impera, Debora; Rigoli, Marco 27 2012 A maximum principle for hypersurfaces with constant scalar curvature and applications. Zbl 1237.53044Alías, 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 1232.53046Alías, Luis J.; García-Martínez, S. Carolina 7 2012 An estimate for the sectional curvature of cylindrically bounded submanifolds. Zbl 1277.53047Alías, Luis J.; Bessa, G. Pacelli; Montenegro, J. Fabio 7 2012 Parabolicity of maximal surfaces in Lorentzian product spaces. Zbl 1218.53062Albujer, Alma L.; Alías, Luis J. 11 2011 On the manifold structure of the set of unparameterized embeddings with low regularity. Zbl 1245.58007Alías, Luis J.; Piccione, Paolo 6 2011 A mean curvature estimate for cylindrically bounded submanifolds. Zbl 1238.53033Alías, Luis J.; Dajczer, Marcos 3 2011 Curvature estimates for submanifolds in warped products. Zbl 1256.53039Alías, 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 1182.53052Alías, Luis J.; García-Martínez, S. Carolina 21 2010 Hypersurfaces in space forms satisfying the condition \(L_kx=Ax+b\). Zbl 1221.53085Alías, Luis J.; Kashani, M. B. 8 2010 On the scalar curvature of hypersurfaces in spaces with a Killing field. Zbl 1194.53018Albujer, Alma L.; Aledo, Juan A.; Alías, Luis J. 6 2010 Geometric analysis of Lorentzian distance function on spacelike hypersurfaces. Zbl 1242.53087Alías, Luis J.; Hurtado, Ana; Palmer, Vicente 4 2010 Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces. Zbl 1173.53025Albujer, Alma L.; Alías, Luis J. 43 2009 Spacelike hypersurfaces with constant mean curvature in the steady state space. Zbl 1162.53043Albujer, Alma L.; Alías, Luis J. 29 2009 The mean curvature of cylindrically bounded submanifolds. Zbl 1200.53050Alías, 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 1187.53061Albujer, Alma L.; Alías, Luis J. 2 2009 A characterization of quadric constant mean curvature hypersurfaces of spheres. Zbl 1151.53053Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 8 2008 Constant mean curvature graphs in a class of warped product spaces. Zbl 1136.53047Alías, Luis J.; Dajczer, Marcos 7 2008 A local estimate for maximal surfaces in Lorentzian product spaces. Zbl 1195.53077Albujer, A. L.; Alías, L. J. 3 2008 Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1131.53035Alías, Luis J.; Colares, A. Gervasio 65 2007 Constant mean curvature hypersurfaces in warped product spaces. Zbl 1141.53051Alías, Luis J.; Dajczer, Marcos 39 2007 A Bernstein-type theorem for Riemannian manifolds with a Killing field. Zbl 1125.53005Alías, Luis J.; Dajczer, Marcos; Ripoll, Jaime 36 2007 On the stability index of hypersurfaces with constant mean curvature in spheres. Zbl 1157.53030Alías, Luis J.; Brasil, Aldir jun.; Perdomo, Oscar 15 2007 The Dirichlet problem for constant mean curvature surfaces in Heisenberg space. Zbl 1210.53010Alías, Luis J.; Dajczer, Marcos; Rosenberg, Harold 8 2007 Normal geodesic graphs of constant mean curvature. Zbl 1119.53040Alías, Luis J.; Dajczer, Marcos 7 2007 An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures. Zbl 1119.53004Alías, Luis J.; Gürbüz, Nevin 40 2006 Constant higher-order mean curvature hypersurfaces in Riemannian spaces. Zbl 1118.53038Alías, Luis J.; De Lira, Jorge H. S.; Malacarne, J. Miguel 36 2006 Uniqueness of constant mean curvature surfaces properly immersed in a slab. Zbl 1110.53039Alías, Luis J.; Dajczer, Marcos 23 2006 On the stability index of minimal and constant mean curvature hypersurfaces in spheres. Zbl 1139.53029Alías, Luis J. 12 2006 Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Zbl 1103.52006Alías, Luis J.; Kurose, Takashi; Solanes, Gil 12 2006 Stable constant mean curvature hypersurfaces in the real projective space. Zbl 1111.53010Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 1 2006 A spectral characterization of the \(H(r)\)-torus by the first stability eigenvalue. Zbl 1065.53046Alías, Luis J.; Barros, Abdênago; Brasil, Aldir jun. 20 2005 A new proof of Liebmann classical rigidity theorem for surfaces in space forms. Zbl 1100.53003Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 13 2005 A further characterization of ellipsoids. Zbl 1089.53008Alías, Luis J.; Colares, A. Gervasio 1 2005 On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms. Zbl 1038.53061Alías, Luis J.; Malacarne, J. Miguel 18 2004 Hypersurfaces with constant mean curvature and two principal curvatures in \(\mathbb{S}^{n+1}\). Zbl 1073.53071Alías, 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 1068.53042Alías, Luis J.; Brasil, Aldir jun.; Sousa, Luiz A. M. jun. 5 2004 Integral formulae for spacelike hypersurfaces in conformally stationary spacetimes and applications. Zbl 1053.53038Alías, Luis J.; Brasil, Aldir jun.; Colares, A. Gervasio 60 2003 Björling problem for maximal surfaces in Lorentz-Minkowski space. Zbl 1027.53063Alías, Luis J.; Chaves, Rosa M. B.; Mira, Pablo 34 2003 An integral formula for compact hypersurfaces in space forms and its applications. Zbl 1043.53043Alías, Luis J. 1 2003 On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space. Zbl 0999.53018Aledo, Juan A.; Alías, Luis J. 13 2002 Uniqueness of spacelike hypersurfaces with constant mean curvature in generalized Robertson-Walker spacetimes. Zbl 1028.53073Alías, Luis J.; Montiel, Sebastián 13 2002 Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time. Zbl 1013.53035Alías, Luis J.; Malacarne, J. Miguel 8 2002 A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\). Zbl 1013.53004Alías, Luis J.; Mira, Pablo 7 2002 Constant scalar curvature hypersurfaces with spherical boundary in Euclidean space. Zbl 1038.53060Alías, Luis J.; Malacarne, J. Miguel 3 2002 Addendum to “Spacelike hypersurfaces with constant higher order mean curvature in the Minkowski space-time”. Zbl 1023.53053Aledo, 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 1041.53038Alías, Luis J.; Palmer, Bennett 25 2001 A duality result between the minimal surface equation and the maximal surface equation. Zbl 0999.53007Alías, Luis J.; Palmer, Bennett 10 2001 A congruence theorem for compact spacelike surfaces in de Sitter space. Zbl 1015.53002Alías, Luis J. 6 2001 Curvature properties of compact spacelike hypersurfaces in de Sitter space. Zbl 0991.53043Aledo, Juan A.; Alías, Luis J. 4 2001 Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature. Zbl 0988.53007Alías, Luis J.; Koh, Sung-Eun 3 2001 Stability of zero mean curvature surfaces in flat Lorentzian 4-manifolds. Zbl 1026.53033Alías, Luis J.; Palmer, Bennett 1 2001 On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space. Zbl 0991.53037Aledo, Juan A.; Alías, Luis J. 19 2000 Spacelike hypersurfaces of constant mean curvature in spacetimes with symmetries. Zbl 0984.53025Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 6 2000 On the curvatures of complete spacelike hypersurfaces in de Sitter space. Zbl 0969.53034Aledo, Juan A.; Alías, Luis J. 5 2000 Spacelike hypersurfaces with constant scalar curvature in the Lorentz-Minkowski space. Zbl 0949.53040Alías, 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 0969.53031Aledo, Juan A.; Alías, Luis J.; Romero, Alfonso 34 1999 Zero mean curvature surfaces with non-negative curvature in flat Lorentzian \(4\)-spaces. Zbl 0970.53034Alías, Luis J.; Palmer, Bennett 10 1999 Stable constant mean curvature surfaces with circular boundary. Zbl 0938.53007Alías, Luis J.; López, Rafael; Palmer, Bennett 8 1999 Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space. Zbl 0956.83010Alías, Luis J.; Pastor, José A. 6 1999 On the Ricci curvature of compact spacelike hypersurfaces in de Sitter space. Zbl 0940.53030Alías, Luis J. 6 1999 Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms. Zbl 0947.53031Alías, Luis J.; Palmer, Bennett 15 1998 On the Gauss map of \(B\)-scrolls. Zbl 0915.53030Alías, 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 0945.53036Alías, Luis J.; Pastor, José A. 15 1998 Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space. Zbl 0934.53040Alías, Luis J.; López, Rafael; Pastor, José A. 9 1998 Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems. Zbl 0912.53046Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 53 1997 Spacelike hypersurfaces of constant mean curvature in certain spacetimes. Zbl 0891.53050Alías, Luis J.; Romero, Alfonso; Sánchez, Miguel 32 1997 Spacelike submanifolds with parallel mean curvature in pseudo-Riemannian space forms. Zbl 0906.53042Alías, Luís J.; Estudillo, Francisco J. M.; Romero, Alfonso 9 1997 Deformations of stationary surfaces. Zbl 0891.53043Alías, Luis J.; Palmer, Bennett 8 1997 On the Gaussian curvature of maximal surfaces in \(n\)-dimensional generalized Robertson-Walker spacetimes. Zbl 0974.53046Alías, 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 601 Authors 144 de Lima, Henrique F. 51 Velásquez, Marco Antonio Lázaro 46 Alías, Luis J. 41 Romero, Alfonso 41 Rubio, Rafael María 37 Dos Santos, Fábio Reis 28 Aquino, Cicero Pedro 26 Aledo, Juan Ángel 24 de Lima, Eudes Leite 24 Rigoli, Marco 21 De, Uday Chand 18 Lima, Eraldo Almeida jun. 18 López Camino, Rafael 17 Albujer, Alma L. 14 Pashaie, Firooz 14 Santos, Márcio S. 13 Pelegrín, José A. S. 12 Araújo, Jogli G. 12 Batista, Márcio 12 Caminha, Antonio 12 de Lira, Jorge Herbert Soares 12 Meléndez, Josué 12 Oliveira, Arlandson Matheus Silva 11 Colares, Antonio Gervásio 11 Cunha, Antonio Wilson 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. 8 Camargo, Fernanda Ester Camillo 8 Gálvez, Jose Antonio 8 Liu, Ximin 8 Meroño Bayo, Miguel Angel 8 Mira, Pablo 8 Suh, Young Jin 7 Colombo, Giulio 7 de la Fuente, Daniel 7 Fu, Yu 7 Impera, Debora 7 Lucas, Pascual 7 Ma, Xiang 7 Piccione, Paolo 7 Pyo, Juncheol 7 Roth, Julien 7 Sánchez Caja, Miguel 6 Barros, Abdênago A. 6 Chaubey, Sudhakar Kumar 6 Chaves, Rosa Maria Barreiro 6 da Silva, Jonatan Floriano 6 Gomes, José Nazareno Vieira 6 Herrera, Jónatan 6 Ma, Ruyun 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 Chen, Bang-Yen 5 de Lima, Joseilson R. 5 Dussan, Martha P. 5 Girão, Frederico 5 Gomes, Wallace F. 5 Gutiérrez, Manuel 5 Jleli, Mohamed Boussairi 5 Kaya, Seher 5 Mari, Luciano 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 Rocha, Lucas S. 5 Samet, Bessem 5 Shenawy, Sameh 4 Baltazar, Halyson I. 4 Bettiol, Renato G. 4 Cánovas, Verónica L. 4 Catino, Giovanni 4 Dai, Guowei 4 De, Krishnendu 4 Deszcz, Ryszard 4 Duggal, Krishan Lal 4 García-Martínez, S. Carolina 4 Kim, Dongsoo S. 4 Li, Guanghan 4 Li, Haizhong 4 Liu, Jiancheng 4 Lopes de Lima, Levi 4 Milán, Francisco ...and 501 more Authors all top 5 Cited in 182 Serials 61 Journal of Geometry and Physics 42 Differential Geometry and its Applications 36 The Journal of Geometric Analysis 35 Journal of Mathematical Analysis and Applications 27 Annals of Global Analysis and Geometry 23 Mediterranean Journal of Mathematics 21 Results in Mathematics 20 General Relativity and Gravitation 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Proceedings of the American Mathematical Society 16 Annali di Matematica Pura ed Applicata. 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Series A 2 SIAM Journal on Mathematical Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Potential Analysis 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Advances in Applied Clifford Algebras 2 Journal of Difference Equations and Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 2 Journal of the Australian Mathematical Society 2 Hacettepe Journal of Mathematics and Statistics 2 Complex Variables and Elliptic Equations ...and 82 more Serials all top 5 Cited in 26 Fields 759 Differential geometry (53-XX) 123 Partial differential equations (35-XX) 109 Global analysis, analysis on manifolds (58-XX) 101 Relativity and gravitational theory (83-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 9 Ordinary differential equations (34-XX) 7 Geometry (51-XX) 6 Potential theory (31-XX) 6 Fluid mechanics (76-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Functions of a complex variable (30-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-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 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) Citations by Year