Edit Profile (opens in new tab) do Carmo, Manfredo Perdigão (b. 1928 d. 2018) Co-Author Distance Author ID: do-carmo.manfredo-perdigao Published as: do Carmo, Manfredo Perdigão; do Carmo, Manfredo P.; do Carmo, Manfredo; Do Carmo, Manfredo P.; do Carmo, M.; do Carmo, Manfredo Perdigão.; Perdigão do Carmo, Manfredo; Do Carmo, Manfredo; do Carmo, M. P. more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 108 Publications since 1963, including 12 Books and 1 Additional arXiv Preprint 2 Contributions as Editor Reviewing Activity: 95 Reviews Biographic References: 8 Publications Co-Authors: 49 Co-Authors with 80 Joint Publications 1,375 Co-Co-Authors all top 5 Co-Authors 27 single-authored 19 Alencar, Hilário 13 Barbosa, João Lucas Marques 9 Dajczer, Marcos 6 Elbert, Maria Fernanda 5 Santos, Walcy 5 Xia, Changyu 4 Tribuzy, Renato 4 Wallach, Nolan Russell 3 Rosenberg, Harold 3 Zhou, Detang 2 Barbosa, Joan Lucas 2 Bérard, Pierre H. 2 Colares, Antonio Gervásio 2 Da Silveira, Alexandre M. 2 Fernández, Isabel 2 Lages Lima, Elon 2 Lawson, Herbert Blaine jun. 2 Mercuri, Francesco 2 Wang, Qiaoling 1 Atiyah, Michael Francis 1 Back, Allen 1 Birbrair, Lev 1 Chern, Shiing-Shen 1 Cheung, Leung-Fu 1 de Miranda Gomes, Jonas 1 Eschenburg, Jost-Hinrich 1 Fernandes, Alexandre Cesar Gurgel 1 Greene, Robert Everist 1 Hirzebruch, Friedrich 1 Hsiang, Wu-Yi 1 Huang, Wenling 1 Ji, Lizhen 1 Kobayashi, Shoshichi 1 Kuh, Ernest Shiu-jen 1 Li, Jun 1 Marques, Fernando Codá 1 Nowosad, Pedro 1 Palis, Jacob jun. 1 Reich, Karin 1 Ritoré, Manuel 1 Ros, Antonio 1 Shen, Y. Ron 1 Silva Neto, Gregório 1 Singer, Isadore Manuel 1 Tenenblat, Keti 1 Thorbergsson, Gudlaugur 1 Warner, Frank W. 1 Weinstein, Alan David 1 Wolf, Joseph Albert 1 Yau, Shing-Tung all top 5 Serials 10 Anais da Academia Brasileira de Ciências 6 Mathematische Zeitschrift 5 Archiv der Mathematik 5 Journal of Differential Geometry 5 Proceedings of the American Mathematical Society 5 Matemática Contemporânea 4 Commentarii Mathematici Helvetici 4 Annals of Global Analysis and Geometry 4 Anais da Academia Brasileira de Ciências 3 Boletim da Sociedade Brasileira de Matemática 3 Transactions of the American Mathematical Society 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Communications in Analysis and Geometry 2 Annals of Mathematics. Second Series 2 Projeto Euclides 2 Vieweg Studium 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Geometry 1 Tamkang Journal of Mathematics 1 Forum Mathematicum 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics 1 Monografías de Matemática (Rio de Janeiro) 1 Electronic Research Announcements in Mathematical Sciences 1 Universitext all top 5 Fields 100 Differential geometry (53-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Manifolds and cell complexes (57-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 3,106 times in 2,600 Documents Cited by ▼ Year ▼ Differential geometry of curves and surfaces. Zbl 0326.53001 do Carmo, Manfredo Perdigão 863 1976 Riemannian geometry. Translated from the Portuguese by Francis Flaherty. Zbl 0752.53001 do Carmo, Manfredo Perdigão 493 1992 Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001 Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S. 260 1970 Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Zbl 0653.53045 Barbosa, J. Lucas; do Carmo, Manfredo P.; Eschenburg, Jost-Hinrich 169 1988 Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059 do Carmo, Manfredo Perdigão; Dajczer, Marco 130 1983 Stability of hypersurfaces with constant mean curvature. Zbl 0513.53002 Barbosa, Joan Lucas; do Carmo, Manfredo Perdigão 121 1984 Stable complete minimal surfaces in \(R^3\) are planes. Zbl 0442.53013 do Carmo, Manfredo Perdigão; Peng, C. K. 119 1979 Hypersurfaces with constant mean curvature in spheres. Zbl 0802.53017 Alencar, Hilário; do Carmo, Manfredo P. 88 1994 Minimal immersions of spheres into spheres. Zbl 0218.53069 do Carmo, Manfredo Perdigão; Wallach, N. R. 67 1971 Rigidity and convexity of hypersurfaces in spheres. Zbl 0201.23702 do Carmo, Manfredo Perdigão; Warner, F. W. 57 1970 On the size of a stable minimal surface im \(R^3\). Zbl 0332.53006 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 44 1976 Helicoidal surfaces with constant mean curvature. Zbl 0501.53003 do Carmo, Manfredo Perdigão; Dajczer, Marcos 43 1982 Differential geometry of curves and surfaces. With a new preface by the author. Revised and updated 2nd edition of the 1976 edition published by Prentice-Hall. Zbl 1352.53002 do Carmo, Manfredo Perdigão 40 2016 Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001 do Carmo, Manfredo P. 37 1994 Stable hypersurfaces with constant scalar curvature. Zbl 0792.53057 Alencar, Hilário; do Carmo, Manfredo P.; Colares, A. G. 35 1993 Complete manifolds with non-negative Ricci curvature and the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1066.53073 do Carmo, Manfredo Perdigão; Xia, Changyu 33 2004 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 minimal surfaces and eigenvalues of the Laplacian. Zbl 0417.53033 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 25 1980 On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049 do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun. 24 1983 Stability of hypersurfaces with vanishing \(r\)-mean curvatures in Euclidean spaces. Zbl 1093.53063 Alencar, Hilário; do Carmo, Manfredo; Elbert, Maria Fernanda 21 2003 Compact conformally flat hypersurfaces. Zbl 0537.53050 do Carmo, Manfredo P.; Dajczer, Marcos; Mercuri, Francesco 19 1985 Conformal rigidity. Zbl 0631.53043 do Carmo, Manfredo P.; Dajczer, Marcos 18 1987 Complete hypersurfaces with constant mean curvature and finite total curvature. Zbl 0921.53027 Bérard, Pierre; do Carmo, Manfredo; Santos, W. 18 1998 A Hopf theorem for ambient spaces of dimensions higher than three. Zbl 1197.53073 Alencar, Hilário; do Carmo, Manfredo; Tribuzy, Renato 17 2010 A proof of a general isoperimetric inequality for surfaces. Zbl 0369.53054 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 15 1978 Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301 do Carmo, Manfredo Perdigão; Wallach, N. R. 15 1970 Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200 Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 15 2010 Compact minimal hypersurfaces with index one in the real projective space. Zbl 0977.53059 do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio 14 2000 Ricci curvature and the topology of open manifolds. Zbl 0958.53025 do Carmo, Manfredo; Xia, Changyu 13 2000 Eigenvalue estimate on complete noncompact Riemannian manifolds and applications. Zbl 0910.53039 do Carmo, Manfredo P.; Zhou, Detang 13 1999 A theorem of Hopf and the Cauchy-Riemann inequality. Zbl 1134.53031 Alencar, Hilario; Tribuzy, Renato; do Carmo, Manfredo 13 2007 Riemannian geometry. (Geometria riemanniana). Zbl 0505.53001 do Carmo, Manfredo Perdigão 12 1979 Isometric immersions with semi-definite second quadratic forms. Zbl 0177.50003 do Carmo, Manfredo Perdigão; Lima, E. 12 1969 Complete submanifolds with bounded mean curvature in a Hadamard manifold. Zbl 1198.53041 do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 11 2010 On the compactness of constant mean curvature hypersurfaces with finite total curvature. Zbl 0981.53048 do Carmo, Manfredo P.; Cheung, Leung-Fu; Santos, Walcy 10 1999 Local isometric immersions of \(\mathbb{R}^ 2\) into \(\mathbb{R}^ 4\). Zbl 0782.53018 do Carmo, Manfredo P.; Dajczer, Marcos 9 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 Stable complete minimal hypersurfaces. Zbl 0527.53035 do Carmo, Manfredo Perdigão; Peng, C. K. 8 1982 Bernstein-type theorems in hypersurfaces with constant mean curvature. Zbl 0978.53016 do Carmo, Manfredo P.; Zhou, Detang 8 2000 Immersions of manifolds with non-negative sectional curvatures. Zbl 0338.53041 do Carmo, Manfredo Perdigão; Lima, E. 8 1971 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 Index and total curvature of surfaces with constant mean curvature. Zbl 0722.53055 do Carmo, Manfredo P.; da Silveira, Alexandre M. 8 1990 The index of constant mean curvature surfaces in hyperbolic 3-space. Zbl 0868.53010 Bérard, Pierre; do Carmo, Manfredo P.; Santos, W. 8 1997 On some fundamental equations of equivariant Riemannian geometry. Zbl 1205.53033 Back, Allen; do Carmo, Manfredo P.; Hsiang, Wu-Yi 7 2009 Stable minimal surfaces. Zbl 0286.53004 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 7 1974 Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth. Zbl 0787.53055 Alencar, Hilário; do Carmo, Manfredo P. 7 1993 Riemannian geometry. 5th edition, 2nd printing. (Geometria Riemanniana.) Zbl 1412.53001 do Carmo, Manfredo Perdigão 7 2015 Necessary and sufficient conditions for existence of minimal hypersurfaces in spaces of constant curvature. Zbl 0604.53023 do Carmo, Manfredo P.; Dajczer, Marcos 6 1981 The influence of the boundary behaviour on hypersurfaces with constant mean curvature in \(H^{n+1}\). Zbl 0614.53046 do Carmo, Manfredo P.; de Miranda Gomes, J.; Thorbergsson, G. 6 1986 On the stability of cones in \(\mathbb R^{n+1}\) with zero scalar curvature. Zbl 1082.53061 Barbosa, J. L. M.; do Carmo, M. P. 5 2005 The cohomology ring of certain Kählerian manifolds. Zbl 0132.16703 do Carmo, Manfredo Perdigão 5 1965 Differential geometry of curves and surfaces. Transl. from the Engl. by Michael Grüter. 2., durchges. Aufl. (Differentialgeometrie von Kurven und Flächen.) Zbl 0733.53001 do Carmo, Manfredo P. 5 1992 Helicoids, catenoids, and minimal hypersurfaces of \(R^ n \)invariant by an l-parameter group of motions. Zbl 0493.53044 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1981 Riemannian metrics induced by two immersions. Zbl 0496.53009 do Carmo, Manfredo Perdigão; Dajczer, Marcos 4 1982 A Hopf theorem for open surfaces in product spaces. Zbl 1188.53072 do Carmo, Manfredo; Fernández, Isabel 4 2009 On stable complete hypersurfaces with vanishing \(r\)-mean curvature. Zbl 1062.53052 do Carmo, Manfredo; Elbert, Maria F. 4 2004 Spherical images of convex surfaces. Zbl 0229.53044 do Carmo, Manfredo Perdigão; Lawson, B. 4 1972 Stability of minimal surfaces in spaces of constant curvature. Zbl 0462.53033 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1980 Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051 Alencar, Hilário; do Carmo, Manfredo P. 4 1994 On regular algebraic surfaces of \(\mathbb R^3\) with constant mean curvature. Zbl 1344.53009 Barbosa, J. Lucas M.; do Carmo, Manfredo P. 4 2016 Differential forms and applications (Formas diferenciais e aplicações). Zbl 0538.53001 do Carmo, Manfredo Perdigão 3 1983 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 Stability of minimal surfaces in a 3-dimensional hyperbolic space. Zbl 0469.53006 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 3 1981 A rigidity theorem for higher codimensions. Zbl 0579.53006 do Carmo, Manfredo P.; Dajczer, Marcos 3 1986 Hypersurfaces of constant mean curvature. Zbl 0683.53052 do Carmo, Manfredo P. 2 1989 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 Manfredo P. do Carmo. Selected papers. Edited by Keti Tenenblat. Zbl 1240.53001 do Carmo, Manfredo P. 2 2012 Positively-curved hypersurfaces of a Hilbert space. Zbl 0177.24603 do Carmo, Manfredo Perdigão 2 1968 On minimal immersions with parallel normal curvature tensor. Zbl 0387.53022 Colares, A. G.; do Carmo, Manfredo Perdigão 2 1977 A necessary condition for a metric in \(M^n\) to be minimally immersed in \(R^{n+1}\). Zbl 0402.53004 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 2 1978 Stability of minimal submanifolds. Zbl 0437.53041 do Carmo, Manfredo Perdigão 2 1981 Globally stable complete minimal surfaces in \(R^3\). Zbl 0442.53011 do Carmo, Manfredo Perdigão; da Silveira, A. M. 2 1980 Stable hypersurfaces with zero scalar curvature in Euclidean space. Zbl 1360.53016 Alencar, Hilário; do Carmo, Manfredo; Silva Neto, Gregório 2 2016 Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). Zbl 1407.32002 Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A. 2 2014 Constant mean curvature in Riemannian manifolds: stability questions. Zbl 0637.53072 do Carmo, Manfredo P. 1 1987 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 Compact conformally flat hypersurfaces. Zbl 0518.53007 do Carmo, Manfredo Perdigão; Dajczer, Marco; Mercuri, F. 1 1983 Minimal immersions of sphere bundles over spheres. Zbl 0205.51901 do Carmo, Manfredo Perdigão; Wallach, N. R. 1 1970 Erratum to “Bernstein-type theorems in hypersurfaces with constant mean curvature”. Zbl 0978.53500 do Carmo, Manfredo P.; Zhou, Detang 1 2001 Minimal immersions of spheres into spheres. Zbl 0183.26404 do Carmo, Manfredo Perdigão.; Wallach, N. R. 1 1969 Brief survey of minimal submanifolds. II. Zbl 0218.53071 do Carmo, Manfredo Perdigão 1 1971 On the size of a stable minimal surface in \(R^3\). Zbl 0313.53002 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 1 1975 Complete hypersurfaces in Euclidean spaces with finite strong total curvature. Zbl 1429.53011 do Carmo, Manfredo; Elbert, Maria Fernanda 1 2019 The cylinder theorem in \(\mathcal{H}^2\times R\). Zbl 1452.53058 Marques Barbosa, João Lucas; Perdigão do Carmo, Manfredo 1 2020 The cylinder theorem in \(\mathcal{H}^2\times R\). Zbl 1452.53058 Marques Barbosa, João Lucas; Perdigão do Carmo, Manfredo 1 2020 Complete hypersurfaces in Euclidean spaces with finite strong total curvature. Zbl 1429.53011 do Carmo, Manfredo; Elbert, Maria Fernanda 1 2019 Differential geometry of curves and surfaces. With a new preface by the author. Revised and updated 2nd edition of the 1976 edition published by Prentice-Hall. Zbl 1352.53002 do Carmo, Manfredo Perdigão 40 2016 On regular algebraic surfaces of \(\mathbb R^3\) with constant mean curvature. Zbl 1344.53009 Barbosa, J. Lucas M.; do Carmo, Manfredo P. 4 2016 Stable hypersurfaces with zero scalar curvature in Euclidean space. Zbl 1360.53016 Alencar, Hilário; do Carmo, Manfredo; Silva Neto, Gregório 2 2016 Riemannian geometry. 5th edition, 2nd printing. (Geometria Riemanniana.) Zbl 1412.53001 do Carmo, Manfredo Perdigão 7 2015 Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). Zbl 1407.32002 Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A. 2 2014 Manfredo P. do Carmo. Selected papers. Edited by Keti Tenenblat. Zbl 1240.53001 do Carmo, Manfredo P. 2 2012 A Hopf theorem for ambient spaces of dimensions higher than three. Zbl 1197.53073 Alencar, Hilário; do Carmo, Manfredo; Tribuzy, Renato 17 2010 Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200 Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 15 2010 Complete submanifolds with bounded mean curvature in a Hadamard manifold. Zbl 1198.53041 do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 11 2010 On some fundamental equations of equivariant Riemannian geometry. Zbl 1205.53033 Back, Allen; do Carmo, Manfredo P.; Hsiang, Wu-Yi 7 2009 A Hopf theorem for open surfaces in product spaces. Zbl 1188.53072 do Carmo, Manfredo; Fernández, Isabel 4 2009 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 On the stability of cones in \(\mathbb R^{n+1}\) with zero scalar curvature. Zbl 1082.53061 Barbosa, J. L. M.; do Carmo, M. P. 5 2005 Complete manifolds with non-negative Ricci curvature and the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1066.53073 do Carmo, Manfredo Perdigão; Xia, Changyu 33 2004 On stable complete hypersurfaces with vanishing \(r\)-mean curvature. Zbl 1062.53052 do Carmo, Manfredo; Elbert, Maria F. 4 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 Erratum to “Bernstein-type theorems in hypersurfaces with constant mean curvature”. Zbl 0978.53500 do Carmo, Manfredo P.; Zhou, Detang 1 2001 Compact minimal hypersurfaces with index one in the real projective space. Zbl 0977.53059 do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio 14 2000 Ricci curvature and the topology of open manifolds. Zbl 0958.53025 do Carmo, Manfredo; Xia, Changyu 13 2000 Bernstein-type theorems in hypersurfaces with constant mean curvature. Zbl 0978.53016 do Carmo, Manfredo P.; Zhou, Detang 8 2000 Eigenvalue estimate on complete noncompact Riemannian manifolds and applications. Zbl 0910.53039 do Carmo, Manfredo P.; Zhou, Detang 13 1999 On the compactness of constant mean curvature hypersurfaces with finite total curvature. Zbl 0981.53048 do Carmo, Manfredo P.; Cheung, Leung-Fu; Santos, Walcy 10 1999 Complete hypersurfaces with constant mean curvature and finite total curvature. Zbl 0921.53027 Bérard, Pierre; do Carmo, Manfredo; Santos, W. 18 1998 The index of constant mean curvature surfaces in hyperbolic 3-space. Zbl 0868.53010 Bérard, Pierre; do Carmo, Manfredo P.; Santos, W. 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 Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001 do Carmo, Manfredo P. 37 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 Local isometric immersions of \(\mathbb{R}^ 2\) into \(\mathbb{R}^ 4\). Zbl 0782.53018 do Carmo, Manfredo P.; Dajczer, Marcos 9 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 Riemannian geometry. Translated from the Portuguese by Francis Flaherty. Zbl 0752.53001 do Carmo, Manfredo Perdigão 493 1992 Differential geometry of curves and surfaces. Transl. from the Engl. by Michael Grüter. 2., durchges. Aufl. (Differentialgeometrie von Kurven und Flächen.) Zbl 0733.53001 do Carmo, Manfredo P. 5 1992 Index and total curvature of surfaces with constant mean curvature. Zbl 0722.53055 do Carmo, Manfredo P.; da Silveira, Alexandre M. 8 1990 Hypersurfaces of constant mean curvature. Zbl 0683.53052 do Carmo, Manfredo P. 2 1989 Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Zbl 0653.53045 Barbosa, J. Lucas; do Carmo, Manfredo P.; Eschenburg, Jost-Hinrich 169 1988 Conformal rigidity. Zbl 0631.53043 do Carmo, Manfredo P.; Dajczer, Marcos 18 1987 Constant mean curvature in Riemannian manifolds: stability questions. Zbl 0637.53072 do Carmo, Manfredo P. 1 1987 The influence of the boundary behaviour on hypersurfaces with constant mean curvature in \(H^{n+1}\). Zbl 0614.53046 do Carmo, Manfredo P.; de Miranda Gomes, J.; Thorbergsson, G. 6 1986 A rigidity theorem for higher codimensions. Zbl 0579.53006 do Carmo, Manfredo P.; Dajczer, Marcos 3 1986 Compact conformally flat hypersurfaces. Zbl 0537.53050 do Carmo, Manfredo P.; Dajczer, Marcos; Mercuri, Francesco 19 1985 Stability of hypersurfaces with constant mean curvature. Zbl 0513.53002 Barbosa, Joan Lucas; do Carmo, Manfredo Perdigão 121 1984 Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059 do Carmo, Manfredo Perdigão; Dajczer, Marco 130 1983 On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049 do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun. 24 1983 Differential forms and applications (Formas diferenciais e aplicações). Zbl 0538.53001 do Carmo, Manfredo Perdigão 3 1983 Compact conformally flat hypersurfaces. Zbl 0518.53007 do Carmo, Manfredo Perdigão; Dajczer, Marco; Mercuri, F. 1 1983 Helicoidal surfaces with constant mean curvature. Zbl 0501.53003 do Carmo, Manfredo Perdigão; Dajczer, Marcos 43 1982 Stable complete minimal hypersurfaces. Zbl 0527.53035 do Carmo, Manfredo Perdigão; Peng, C. K. 8 1982 Riemannian metrics induced by two immersions. Zbl 0496.53009 do Carmo, Manfredo Perdigão; Dajczer, Marcos 4 1982 Necessary and sufficient conditions for existence of minimal hypersurfaces in spaces of constant curvature. Zbl 0604.53023 do Carmo, Manfredo P.; Dajczer, Marcos 6 1981 Helicoids, catenoids, and minimal hypersurfaces of \(R^ n \)invariant by an l-parameter group of motions. Zbl 0493.53044 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1981 Stability of minimal surfaces in a 3-dimensional hyperbolic space. Zbl 0469.53006 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 3 1981 Stability of minimal submanifolds. Zbl 0437.53041 do Carmo, Manfredo Perdigão 2 1981 Stability of minimal surfaces and eigenvalues of the Laplacian. Zbl 0417.53033 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 25 1980 Stability of minimal surfaces in spaces of constant curvature. Zbl 0462.53033 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1980 Globally stable complete minimal surfaces in \(R^3\). Zbl 0442.53011 do Carmo, Manfredo Perdigão; da Silveira, A. M. 2 1980 Stable complete minimal surfaces in \(R^3\) are planes. Zbl 0442.53013 do Carmo, Manfredo Perdigão; Peng, C. K. 119 1979 Riemannian geometry. (Geometria riemanniana). Zbl 0505.53001 do Carmo, Manfredo Perdigão 12 1979 A proof of a general isoperimetric inequality for surfaces. Zbl 0369.53054 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 15 1978 A necessary condition for a metric in \(M^n\) to be minimally immersed in \(R^{n+1}\). Zbl 0402.53004 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 2 1978 On minimal immersions with parallel normal curvature tensor. Zbl 0387.53022 Colares, A. G.; do Carmo, Manfredo Perdigão 2 1977 Differential geometry of curves and surfaces. Zbl 0326.53001 do Carmo, Manfredo Perdigão 863 1976 On the size of a stable minimal surface im \(R^3\). Zbl 0332.53006 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 44 1976 On the size of a stable minimal surface in \(R^3\). Zbl 0313.53002 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 1 1975 Stable minimal surfaces. Zbl 0286.53004 Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 7 1974 Spherical images of convex surfaces. Zbl 0229.53044 do Carmo, Manfredo Perdigão; Lawson, B. 4 1972 Minimal immersions of spheres into spheres. Zbl 0218.53069 do Carmo, Manfredo Perdigão; Wallach, N. R. 67 1971 Immersions of manifolds with non-negative sectional curvatures. Zbl 0338.53041 do Carmo, Manfredo Perdigão; Lima, E. 8 1971 Brief survey of minimal submanifolds. II. Zbl 0218.53071 do Carmo, Manfredo Perdigão 1 1971 Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001 Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S. 260 1970 Rigidity and convexity of hypersurfaces in spheres. Zbl 0201.23702 do Carmo, Manfredo Perdigão; Warner, F. W. 57 1970 Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301 do Carmo, Manfredo Perdigão; Wallach, N. R. 15 1970 Minimal immersions of sphere bundles over spheres. Zbl 0205.51901 do Carmo, Manfredo Perdigão; Wallach, N. R. 1 1970 Isometric immersions with semi-definite second quadratic forms. Zbl 0177.50003 do Carmo, Manfredo Perdigão; Lima, E. 12 1969 Minimal immersions of spheres into spheres. Zbl 0183.26404 do Carmo, Manfredo Perdigão.; Wallach, N. R. 1 1969 Positively-curved hypersurfaces of a Hilbert space. Zbl 0177.24603 do Carmo, Manfredo Perdigão 2 1968 The cohomology ring of certain Kählerian manifolds. Zbl 0132.16703 do Carmo, Manfredo Perdigão 5 1965 all cited Publications top 5 cited Publications all top 5 Cited by 3,197 Authors 53 de Lima, Henrique F. 29 Velásquez, Marco Antonio Lázaro 25 Xu, Hongwei 23 Alías, Luis J. 22 do Carmo, Manfredo Perdigão 22 Li, Haizhong 20 Dos Santos, Fábio Reis 20 Xia, Changyu 19 Dajczer, Marcos 19 Korpinar, Talat 17 Rosenberg, Harold 15 Alencar, Hilário 14 de Lima, Eudes Leite 14 Meeks, William Hamilton III 14 Rosales, César 14 Zhou, Detang 13 Batista, Márcio 13 Espinar, José María 13 Fetcu, Dorel 13 Kristály, Alexandru 13 Meléndez, Josué 13 Wang, Qiaoling 13 Wei, Guoxin 12 Chaves Brasil Junior, Aldir 12 Chen, Bang-Yen 11 Cheng, Qingming 11 Hu, Zejun 11 Otsuki, Tominosuke 11 Palmas, Oscar 11 Vlachos, Theodoros 11 Xu, Xiaowei 10 Aquino, Cicero Pedro 10 de Almeida Cavalcante, Marcos Petrúcio 10 Farouki, Rida T. 10 Fu, Haiping 10 Gálvez, Jose Antonio 10 López Camino, Rafael 10 Oniciuc, Cezar 10 Perdomo, Oscar Mario 10 Toth, Gabor 10 Xu, Guoliang 9 Kasap, Emin 8 Barros, Abdênago A. 8 Caminha, Antonio 8 Colares, Antonio Gervásio 8 da Silva, Jonatan Floriano 8 Ghosh, Pinaki Ranjan 8 Güler, Erhan 8 Hurtado, Ana 8 Koiso, Miyuki 8 Pérez Muñoz, Joaquín 8 Pottmann, Helmut 8 Rigoli, Marco 8 Ripoll, Jaime Bruck 8 Ros, Antonio 8 Roth, Julien 8 Seo, Keomkyo 8 Shaikh, Absos Ali 8 Silva Neto, Gregório 8 Tojeiro, Ruy 8 Vitório, Feliciano A. 7 Barbosa, Ezequiel R. 7 Barbosa, João Lucas Marques 7 Bayram, Ergin 7 Chaves, Rosa Maria Barreiro 7 Fei, Jie 7 Ferreira, Orizon Pereira 7 Garay, Oscar Jesus 7 Kim, Youngho 7 Lima, Eraldo Almeida jun. 7 Palmer, Vicente 7 Peng, Chiakuei 7 Ritoré, Manuel 7 Shu, Shichang 7 Slemrod, Marshall 7 Solouma, Emad M. 7 Walker, Shawn W. 7 Xu, Zhiyuan 6 Abdel-Baky, Rashad A. 6 Alcazar, Juan Gerardo 6 Bhattacharya, Rabi N. 6 Çalişkan, Abdussamet 6 Chen, Sheng-Gwo 6 Chodosh, Otis 6 Ciarlet, Philippe Gaston 6 de Almeida, Sebastião Carneiro 6 Gimeno, Vicent 6 Gu, Juan-Ru 6 Hurder, Steven E. 6 Kim, Dongsoo S. 6 Lei, Li 6 Li, Guanghan 6 Luo, Yong 6 Mao, Jing 6 Mercuri, Francesco 6 Mira, Pablo 6 Mirandola, Heudson 6 Nelli, Barbara 6 Ogiue, Koichi 6 Pámpano, Álvaro ...and 3,097 more Authors all top 5 Cited in 510 Serials 81 Proceedings of the American Mathematical Society 77 Computer Aided Geometric Design 68 The Journal of Geometric Analysis 60 Differential Geometry and its Applications 55 Journal of Mathematical Analysis and Applications 55 Calculus of Variations and Partial Differential Equations 53 Transactions of the American Mathematical Society 49 Journal of Geometry and Physics 47 Mathematische Zeitschrift 44 Geometriae Dedicata 41 Annals of Global Analysis and Geometry 38 Mathematische Annalen 37 Annali di Matematica Pura ed Applicata. Serie Quarta 37 Results in Mathematics 32 Tôhoku Mathematical Journal. Second Series 29 Kodai Mathematical Journal 27 Bulletin of the Brazilian Mathematical Society. New Series 26 Manuscripta Mathematica 24 Journal of Geometry 23 Advances in Mathematics 23 Applied Mathematics and Computation 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Journal of Differential Equations 21 Archive for Rational Mechanics and Analysis 21 Archiv der Mathematik 21 Mediterranean Journal of Mathematics 20 Journal of Functional Analysis 19 Journal of Elasticity 18 Journal of Computational Physics 16 Israel Journal of Mathematics 16 Duke Mathematical Journal 16 Journal of Computational and Applied Mathematics 16 Monatshefte für Mathematik 16 International Journal of Geometric Methods in Modern Physics 15 Journal of Optimization Theory and Applications 15 Science China. Mathematics 14 Computer Methods in Applied Mechanics and Engineering 14 Journal of Mathematical Physics 14 Inventiones Mathematicae 14 Journal of Mathematical Imaging and Vision 13 Communications in Mathematical Physics 13 International Journal of Computer Vision 13 Boletim da Sociedade Paranaense de Matemática. Terceira Série 12 Anais da Academia Brasileira de Ciências 12 Mathematische Nachrichten 12 Journal of Nonlinear Science 11 Computers & Mathematics with Applications 11 Rocky Mountain Journal of Mathematics 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Advances in Computational Mathematics 11 Acta Mathematica Sinica. English Series 10 Journal of Inequalities and Applications 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Annales de l’Institut Fourier 9 Boletim da Sociedade Brasileira de Matemática 9 Michigan Mathematical Journal 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 Topology and its Applications 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Discrete & Computational Geometry 9 Revista Matemática Iberoamericana 9 International Journal of Mathematics 9 Turkish Journal of Mathematics 9 International Electronic Journal of Geometry 8 American Mathematical Monthly 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Quarterly of Applied Mathematics 8 Chinese Annals of Mathematics. Series B 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Journal of Mathematical Sciences (New York) 8 Advances in Mathematical Physics 7 Bulletin of the Australian Mathematical Society 7 The Annals of Statistics 7 Journal of the Mathematical Society of Japan 7 Journal für die Reine und Angewandte Mathematik 7 Applied Mathematics Letters 7 Journal of Scientific Computing 7 Potential Analysis 7 Applied Mathematics. Series B (English Edition) 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 General Relativity and Gravitation 6 Mathematical Methods in the Applied Sciences 6 Nonlinearity 6 Arkiv för Matematik 6 Chaos, Solitons and Fractals 6 Bulletin of the London Mathematical Society 6 Czechoslovak Mathematical Journal 6 Illinois Journal of Mathematics 6 Applied Numerical Mathematics 6 Journal of Global Optimization 6 Numerical Algorithms 6 Applied Mathematical Modelling 6 Bulletin of the American Mathematical Society. New Series 6 SIAM Journal on Scientific Computing 6 Applied and Computational Harmonic Analysis 6 Advances in Applied Clifford Algebras 6 Discrete and Continuous Dynamical Systems 6 Annals of Mathematics. Second Series 6 Communications in Contemporary Mathematics 6 Journal of Dynamical Systems and Geometric Theories ...and 410 more Serials all top 5 Cited in 60 Fields 1,726 Differential geometry (53-XX) 337 Global analysis, analysis on manifolds (58-XX) 311 Partial differential equations (35-XX) 262 Numerical analysis (65-XX) 253 Calculus of variations and optimal control; optimization (49-XX) 124 Computer science (68-XX) 104 Mechanics of deformable solids (74-XX) 101 Dynamical systems and ergodic theory (37-XX) 94 Manifolds and cell complexes (57-XX) 78 Fluid mechanics (76-XX) 69 Operations research, mathematical programming (90-XX) 63 Convex and discrete geometry (52-XX) 57 Probability theory and stochastic processes (60-XX) 52 Mechanics of particles and systems (70-XX) 51 Ordinary differential equations (34-XX) 50 Statistics (62-XX) 46 Real functions (26-XX) 45 Operator theory (47-XX) 45 Relativity and gravitational theory (83-XX) 40 Functional analysis (46-XX) 40 Biology and other natural sciences (92-XX) 39 Statistical mechanics, structure of matter (82-XX) 36 Quantum theory (81-XX) 35 Potential theory (31-XX) 34 Functions of a complex variable (30-XX) 34 Several complex variables and analytic spaces (32-XX) 33 Approximations and expansions (41-XX) 33 Geometry (51-XX) 32 Algebraic geometry (14-XX) 28 Systems theory; control (93-XX) 21 Topological groups, Lie groups (22-XX) 20 Optics, electromagnetic theory (78-XX) 17 Information and communication theory, circuits (94-XX) 16 Combinatorics (05-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 General topology (54-XX) 15 Algebraic topology (55-XX) 14 General and overarching topics; collections (00-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Group theory and generalizations (20-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Number theory (11-XX) 8 Measure and integration (28-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Nonassociative rings and algebras (17-XX) 6 Special functions (33-XX) 5 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 4 Astronomy and astrophysics (85-XX) 4 Mathematics education (97-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Geophysics (86-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Difference and functional equations (39-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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