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Author ID: alias.luis-j Recent zbMATH articles by "Alías, Luis J."
Published as: Alías, Luis J.; Alías, L. J.; Alías, Luis; Alias, Luis J.; Alías, Luís J.
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

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

Publications by Year

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 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
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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. New Series
13 Geometriae Dedicata
13 Calculus of Variations and Partial Differential Equations
12 Journal of Geometry
12 Transactions of the American Mathematical Society
9 Archiv der Mathematik
9 International Journal of Mathematics
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Pacific Journal of Mathematics
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Bulletin of the Australian Mathematical Society
7 Mathematische Zeitschrift
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 Acta Mathematica Hungarica
7 Revista Matemática Iberoamericana
7 Turkish Journal of Mathematics
7 Advances in Mathematical Physics
6 Reports on Mathematical Physics
6 Mathematische Nachrichten
6 Monatshefte für Mathematik
6 Communications of the Korean Mathematical Society
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Beiträge zur Algebra und Geometrie
5 Journal of Differential Equations
5 Tôhoku Mathematical Journal. Second Series
5 Potential Analysis
4 Classical and Quantum Gravity
4 Letters in Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Advances in Mathematics
4 Manuscripta Mathematica
4 Bulletin of the Korean Mathematical Society
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Communications in Contemporary Mathematics
4 Advances in Geometry
4 Advanced Nonlinear Studies
4 Milan Journal of Mathematics
4 Discrete and Continuous Dynamical Systems. Series S
4 São Paulo Journal of Mathematical Sciences
4 Analysis and Mathematical Physics
4 Bollettino dell’Unione Matematica Italiana
3 Acta Mathematica Vietnamica
3 Collectanea Mathematica
3 Czechoslovak Mathematical Journal
3 Glasgow Mathematical Journal
3 Kodai Mathematical Journal
3 Michigan Mathematical Journal
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Tamkang Journal of Mathematics
3 Chinese Annals of Mathematics. Series B
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Aequationes Mathematicae
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Bulletin of the Polish Academy of Sciences, Mathematics
3 Journal of Mathematical Sciences (New York)
3 Filomat
3 Mathematical Physics, Analysis and Geometry
3 Journal of Inequalities and Applications
3 Revista Matemática Complutense
3 Proyecciones
3 Annali dell’Università di Ferrara. Sezione VII. 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

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