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Author ID: alencar.hilario Recent zbMATH articles by "Alencar, Hilário"
Published as: Alencar, Hilário; Alencar, H.; Alencar, Hilario; Alencar, Hiláro
Homepage: http://www.im.ufal.br/professor/hilario/
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 334 times in 245 Documents Cited by Year
Hypersurfaces with constant mean curvature in spheres. Zbl 0802.53017
Alencar, Hilário; do Carmo, Manfredo P.
88
1994
Stable hypersurfaces with constant scalar curvature. Zbl 0792.53057
Alencar, Hilário; do Carmo, Manfredo P.; Colares, A. G.
35
1993
On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface. Zbl 0816.53031
Alencar, Hilário; do Carmo, Manfredo P.; Rosenberg, Harold
27
1993
Stability of hypersurfaces with vanishing \(r\)-mean curvatures in Euclidean spaces. Zbl 1093.53063
Alencar, Hilário; do Carmo, Manfredo; Elbert, Maria Fernanda
21
2003
\(O(m) \times O(n)\)-invariant minimal hypersurfaces in \(\mathbb R^{m+n}\). Zbl 1077.53007
Alencar, Hilário; Barros, Abdênago; Palmas, Oscar; Reyes, J. Guadalupe; Santos, Walcy
20
2005
A Hopf theorem for ambient spaces of dimensions higher than three. Zbl 1197.53073
Alencar, Hilário; do Carmo, Manfredo; Tribuzy, Renato
17
2010
A theorem of Hopf and the Cauchy-Riemann inequality. Zbl 1134.53031
Alencar, Hilario; Tribuzy, Renato; do Carmo, Manfredo
13
2007
Integral formulas for the \(r\)-mean curvature linearized operator of a hypersurface. Zbl 0920.53030
Alencar, Hilario; Colares, A. Gervasio
11
1998
Minimal hypersurfaces of \({\mathbb{R}}^{2m}\) invariant by \(SO(m){\times}SO(m)\). Zbl 0776.53035
Alencar, Hilário
10
1993
A gap theorem for hypersurfaces of the sphere with constant scalar curvature one. Zbl 1032.53045
Alencar, Hilário; do Carmo, Manfredo; Santos, Walcy
9
2002
Upper bounds for the first eigenvalue of the operator \(L_r\) and some applications. Zbl 0990.53058
Alencar, Hilário; do Carmo, Manfredo; Marques, Fernando
8
2001
Hypersurfaces whose tangent geodesics omit a nonempty set. Zbl 0723.53036
Alencar, Hilário; Frensel, Katia
8
1991
Some remarks on the existence of hypersurfaces of constant mean curvature with a given boundary, or asymptotic boundary, in hyperbolic space. Zbl 0882.53044
Alencar, Hilário; Rosenberg, Harold
8
1997
Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth. Zbl 0787.53055
Alencar, Hilário; do Carmo, Manfredo P.
7
1993
Eigenvalue estimates for a class of elliptic differential operators on compact manifolds. Zbl 1330.53075
Alencar, Hilário; Silva Neto, Gregório; Zhou, Detang
7
2015
Stability and geometric properties of constant weighted mean curvature hypersurfaces in gradient Ricci solitons. Zbl 1395.58024
Alencar, Hilário; Rocha, Adina
7
2018
On the Gauss map of hypersurfaces with constant scalar curvature in spheres. Zbl 1061.53036
Alencar, Hilário; Rosenberg, Harold; Santos, Walcy
6
2004
Stable hypersurfaces with constant scalar curvature. Zbl 1217.53057
Alencar, Hilário; Santos, Walcy; Zhou, Detang
6
2010
Curvature integral estimates for complete hypersurfaces. Zbl 1260.53110
Alencar, Hilário; Santos, Walcy; Zhou, Detang
5
2011
Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051
Alencar, Hilário; do Carmo, Manfredo P.
4
1994
Hypersurfaces with null higher order mean curvature. Zbl 1210.53057
Alencar, Hilário; Batista, Márcio
4
2010
Erratum to: On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface. Zbl 0822.53035
Alencar, Hilario; do Carmo, Manfredo P.; Rosenberg, Harold
3
1995
Erratum to “Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth”. Zbl 0833.53051
Alencar, H.; Do Carmo, Manfredo P.
2
1995
Poincaré and mean value inequalities for hypersurfaces in Riemannian manifolds and applications. Zbl 1451.53079
Alencar, Hilário; Silva Neto, Gregório
2
2017
Stable hypersurfaces with zero scalar curvature in Euclidean space. Zbl 1360.53016
Alencar, Hilário; do Carmo, Manfredo; Silva Neto, Gregório
2
2016
Isoperimetric inequalities and monotonicity formulas for submanifolds in warped products manifolds. Zbl 1412.53081
Alencar, Hilário; Silva Neto, Gregório
2
2018
A theorem of H. Hopf and the Cauchy-Riemann inequality. II. Zbl 1157.53349
Alencar, Hilário; do Carmo, Manfredo; Fernández, Isabel; Tribuzy, Renato
1
2007
Hopf-type theorem for self-shrinkers. Zbl 1497.53138
Alencar, Hilário; Silva Neto, Gregório; Zhou, Detang
1
2022
Hopf-type theorem for self-shrinkers. Zbl 1497.53138
Alencar, Hilário; Silva Neto, Gregório; Zhou, Detang
1
2022
Stability and geometric properties of constant weighted mean curvature hypersurfaces in gradient Ricci solitons. Zbl 1395.58024
Alencar, Hilário; Rocha, Adina
7
2018
Isoperimetric inequalities and monotonicity formulas for submanifolds in warped products manifolds. Zbl 1412.53081
Alencar, Hilário; Silva Neto, Gregório
2
2018
Poincaré and mean value inequalities for hypersurfaces in Riemannian manifolds and applications. Zbl 1451.53079
Alencar, Hilário; Silva Neto, Gregório
2
2017
Stable hypersurfaces with zero scalar curvature in Euclidean space. Zbl 1360.53016
Alencar, Hilário; do Carmo, Manfredo; Silva Neto, Gregório
2
2016
Eigenvalue estimates for a class of elliptic differential operators on compact manifolds. Zbl 1330.53075
Alencar, Hilário; Silva Neto, Gregório; Zhou, Detang
7
2015
Curvature integral estimates for complete hypersurfaces. Zbl 1260.53110
Alencar, Hilário; Santos, Walcy; Zhou, Detang
5
2011
A Hopf theorem for ambient spaces of dimensions higher than three. Zbl 1197.53073
Alencar, Hilário; do Carmo, Manfredo; Tribuzy, Renato
17
2010
Stable hypersurfaces with constant scalar curvature. Zbl 1217.53057
Alencar, Hilário; Santos, Walcy; Zhou, Detang
6
2010
Hypersurfaces with null higher order mean curvature. Zbl 1210.53057
Alencar, Hilário; Batista, Márcio
4
2010
A theorem of Hopf and the Cauchy-Riemann inequality. Zbl 1134.53031
Alencar, Hilario; Tribuzy, Renato; do Carmo, Manfredo
13
2007
A theorem of H. Hopf and the Cauchy-Riemann inequality. II. Zbl 1157.53349
Alencar, Hilário; do Carmo, Manfredo; Fernández, Isabel; Tribuzy, Renato
1
2007
\(O(m) \times O(n)\)-invariant minimal hypersurfaces in \(\mathbb R^{m+n}\). Zbl 1077.53007
Alencar, Hilário; Barros, Abdênago; Palmas, Oscar; Reyes, J. Guadalupe; Santos, Walcy
20
2005
On the Gauss map of hypersurfaces with constant scalar curvature in spheres. Zbl 1061.53036
Alencar, Hilário; Rosenberg, Harold; Santos, Walcy
6
2004
Stability of hypersurfaces with vanishing \(r\)-mean curvatures in Euclidean spaces. Zbl 1093.53063
Alencar, Hilário; do Carmo, Manfredo; Elbert, Maria Fernanda
21
2003
A gap theorem for hypersurfaces of the sphere with constant scalar curvature one. Zbl 1032.53045
Alencar, Hilário; do Carmo, Manfredo; Santos, Walcy
9
2002
Upper bounds for the first eigenvalue of the operator \(L_r\) and some applications. Zbl 0990.53058
Alencar, Hilário; do Carmo, Manfredo; Marques, Fernando
8
2001
Integral formulas for the \(r\)-mean curvature linearized operator of a hypersurface. Zbl 0920.53030
Alencar, Hilario; Colares, A. Gervasio
11
1998
Some remarks on the existence of hypersurfaces of constant mean curvature with a given boundary, or asymptotic boundary, in hyperbolic space. Zbl 0882.53044
Alencar, Hilário; Rosenberg, Harold
8
1997
Erratum to: On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface. Zbl 0822.53035
Alencar, Hilario; do Carmo, Manfredo P.; Rosenberg, Harold
3
1995
Erratum to “Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth”. Zbl 0833.53051
Alencar, H.; Do Carmo, Manfredo P.
2
1995
Hypersurfaces with constant mean curvature in spheres. Zbl 0802.53017
Alencar, Hilário; do Carmo, Manfredo P.
88
1994
Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051
Alencar, Hilário; do Carmo, Manfredo P.
4
1994
Stable hypersurfaces with constant scalar curvature. Zbl 0792.53057
Alencar, Hilário; do Carmo, Manfredo P.; Colares, A. G.
35
1993
On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface. Zbl 0816.53031
Alencar, Hilário; do Carmo, Manfredo P.; Rosenberg, Harold
27
1993
Minimal hypersurfaces of \({\mathbb{R}}^{2m}\) invariant by \(SO(m){\times}SO(m)\). Zbl 0776.53035
Alencar, Hilário
10
1993
Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth. Zbl 0787.53055
Alencar, Hilário; do Carmo, Manfredo P.
7
1993
Hypersurfaces whose tangent geodesics omit a nonempty set. Zbl 0723.53036
Alencar, Hilário; Frensel, Katia
8
1991
all top 5

Cited by 256 Authors

26 de Lima, Henrique F.
18 Velásquez, Marco Antonio Lázaro
13 Alencar, Hilário
12 Fetcu, Dorel
11 do Carmo, Manfredo Perdigão
11 Dos Santos, Fábio Reis
9 Alías, Luis J.
8 Rosenberg, Harold
8 Silva Neto, Gregório
7 Roth, Julien
7 Zhou, Detang
6 Aquino, Cicero Pedro
6 Li, Haizhong
5 Batista, Márcio
5 Chaves Brasil Junior, Aldir
5 de Almeida Cavalcante, Marcos Petrúcio
5 Colares, Antonio Gervásio
5 da Silva, Jonatan Floriano
5 Meléndez, Josué
5 Oniciuc, Cezar
5 Shu, Shichang
4 Azami, Shahroud
4 Barros, Abdênago A.
4 de Lima, Eudes Leite
4 He, Yijun
4 Palmas, Oscar
4 Santos, Walcy
4 Upadhyay, Abhitosh
4 Vlachos, Theodoros
4 Wang, Qiaoling
4 Xia, Changyu
3 Coskunuzer, Baris
3 de Almeida, Sebastião Carneiro
3 Huang, Guangyue
3 Liu, Jiancheng
3 Liu, Ximin
3 Meeks, William Hamilton III
3 Rigoli, Marco
3 Ripoll, Jaime Bruck
3 Tinaglia, Giuseppe
3 Wei, Juncheng
2 Agudelo, Oscar Mauricio
2 Barbosa, Ezequiel R.
2 Barbosa, João Lucas Marques
2 Braga Brito, Fabiano Gustavo
2 Cabré, Xavier
2 Catino, Giovanni
2 Chaves, Rosa Maria Barreiro
2 Cheng, Qingming
2 De Sousa, Antonio Fernando
2 Fatemi, Seyyed Hamed
2 Fu, Yu
2 Gálvez, Jose Antonio
2 García-Martínez, S. Carolina
2 Kim, Daehwan
2 Kwong, Kwok-Kun
2 Lima, Barnabé Pessoa
2 Lin, Hezi
2 Liu, Sanyang
2 Lopes de Lima, Levi
2 Ma, Bingqing
2 Manfio, Fernando
2 Mari, Luciano
2 Mira, Pablo
2 Mirandola, Heudson
2 Mohammadpouri, Akram
2 Nelli, Barbara
2 Oliveira Costa-Filho, Wagner
2 Oliveira, Arlandson Matheus Silva
2 Bessa, Gregório Pacelli
2 Pinheiro, Ana Lucia
2 Pyo, Juncheol
2 Qi, Xuerong
2 Reyes, J. Guadalupe
2 Rizzi, Matteo
2 Rosales, César
2 Sato, Jocelino
2 Sousa, Luiz Amancio M. jun.
2 Sousa, Paulo
2 Sun, Zhongyang
2 Terra, Joana
2 Tribuzy, Renato
2 Vitório, Feliciano A.
2 Wang, Xianfeng
2 Xu, Hongwei
2 Zhang, Yuntao
1 Abdelmalek, Mohammed
1 Aledo, Juan Ángel
1 Ancari, Saul
1 Andrzejewski, Krzysztof
1 Bai, Jinchuan
1 Balmus, Adina
1 Barroso, Cleon S.
1 Batista da Silva, Márcio Henrique
1 Bezerra, Adriano C.
1 Bianchini, Bruno
1 Bibi, Hiba
1 Bourni, Theodora
1 Bustos, Daniel F.
1 Camargo, Fernanda Ester Camillo
...and 156 more Authors
all top 5

Cited in 97 Serials

14 Proceedings of the American Mathematical Society
14 Annals of Global Analysis and Geometry
11 Differential Geometry and its Applications
11 The Journal of Geometric Analysis
9 Journal of Mathematical Analysis and Applications
7 Journal of Geometry and Physics
7 Results in Mathematics
7 Bulletin of the Brazilian Mathematical Society. New Series
6 Anais da Academia Brasileira de Ciências
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Monatshefte für Mathematik
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Mediterranean Journal of Mathematics
5 Arkiv för Matematik
5 Archiv der Mathematik
4 Bulletin of the Australian Mathematical Society
4 Geometriae Dedicata
4 Mathematische Annalen
4 Mathematische Nachrichten
4 Tôhoku Mathematical Journal. Second Series
4 Calculus of Variations and Partial Differential Equations
4 Bulletin des Sciences Mathématiques
3 Czechoslovak Mathematical Journal
3 Glasgow Mathematical Journal
3 Mathematische Zeitschrift
3 Acta Mathematica Sinica. English Series
3 Advances in Geometry
3 São Paulo Journal of Mathematical Sciences
2 Houston Journal of Mathematics
2 Annales de l’Institut Fourier
2 Bulletin of the London Mathematical Society
2 Journal of Functional Analysis
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Kodai Mathematical Journal
2 Michigan Mathematical Journal
2 Transactions of the American Mathematical Society
2 Science China. Mathematics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Annales Polonici Mathematici
1 Archivum Mathematicum
1 Colloquium Mathematicum
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Journal of Geometry
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Bulletin of the Korean Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Revista Matemática Iberoamericana
1 International Journal of Mathematics
1 Communications in Partial Differential Equations
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Partial Differential Equations
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Potential Analysis
1 Applied Mathematics. Series B (English Edition)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Discrete and Continuous Dynamical Systems
1 Vietnam Journal of Mathematics
1 Journal of Inequalities and Applications
1 Journal of Mathematical Study
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 The ANZIAM Journal
1 Kragujevac Journal of Mathematics
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 Analysis in Theory and Applications
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Fixed Point Theory and Applications
1 Kyoto Journal of Mathematics
1 Functional Analysis, Approximation and Computation
1 ISRN Geometry
1 Communications in Mathematics
1 Arabian Journal of Mathematics
1 Journal of Mathematical Research with Applications
1 Annales Mathématiques du Québec
1 Geometry
1 Bollettino dell’Unione Matematica Italiana
1 Cogent Mathematics & Statistics
1 SN Partial Differential Equations and Applications

Citations by Year