Edit Profile (opens in new tab) Alencar, Hilário Co-Author Distance Author ID: alencar.hilario Published as: Alencar, Hilário; Alencar, H.; Alencar, Hilario; Alencar, Hiláro more...less Homepage: http://www.im.ufal.br/professor/hilario/ External Links: MGP Documents Indexed: 48 Publications since 1991, including 4 Books and 7 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 17 Co-Authors with 49 Joint Publications 256 Co-Co-Authors all top 5 Co-Authors 1 single-authored 19 do Carmo, Manfredo Perdigão 16 Silva Neto, Gregório 10 Santos, Walcy 7 Rosenberg, Harold 7 Zhou, Detang 4 Tribuzy, Renato 2 Batista, Márcio 2 Colares, Antonio Gervásio 2 Elbert, Maria Fernanda 2 Rocha, Adina 1 Barros, Abdênago A. 1 Fernández, Isabel 1 Frensel, Katia Rosenvald 1 Garcia, Ronaldo A. 1 Marques, Fernando Codá 1 Palmas, Oscar 1 Reyes, J. Guadalupe 1 Viana, Marcelo all top 5 Serials 5 Annals of Global Analysis and Geometry 3 Anais da Academia Brasileira de Ciências 3 Proceedings of the American Mathematical Society 3 Matemática Contemporânea 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Arkiv för Matematik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Communications in Analysis and Geometry 1 Bulletin des Sciences Mathématiques 1 The Asian Journal of Mathematics 1 Student Mathematical Library 1 Publicações Matemáticas do IMPA all top 5 Fields 50 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 14 Fields 234 Differential geometry (53-XX) 41 Global analysis, analysis on manifolds (58-XX) 30 Partial differential equations (35-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 5 Manifolds and cell complexes (57-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Relativity and gravitational theory (83-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year