Edit Profile (opens in new tab) do Carmo, Manfredo Perdigão Compute Distance To: Compute 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: 107 Publications since 1963, including 12 Books 2 Contributions as Editor Reviewing Activity: 95 Reviews Biographic References: 8 Publications Co-Authors: 49 Co-Authors with 79 Joint Publications 1,243 Co-Co-Authors all top 5 Co-Authors 27 single-authored 19 Alencar, Hilário 14 Barbosa, João Lucas Marques 9 Dajczer, Marcos 5 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 Tohoku 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 Electronic Research Announcements in Mathematical Sciences 1 Universitext all top 5 Fields 99 Differential geometry (53-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Global analysis, analysis on manifolds (58-XX) 4 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 82 Publications have been cited 2,501 times in 2,072 Documents Cited by ▼ Year ▼ Differential geometry of curves and surfaces. Zbl 0326.53001do Carmo, Manfredo Perdigão 706 1976 Riemannian geometry. Translated from the Portuguese by Francis Flaherty. Zbl 0752.53001do Carmo, Manfredo Perdigão 296 1992 Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S. 223 1970 Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Zbl 0653.53045Barbosa, J. Lucas; do Carmo, Manfredo P.; Eschenburg, Jost-Hinrich 146 1988 Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059do Carmo, Manfredo Perdigão; Dajczer, Marco 109 1983 Stable complete minimal surfaces in \(R^3\) are planes. Zbl 0442.53013do Carmo, Manfredo Perdigão; Peng, C. K. 102 1979 Stability of hypersurfaces with constant mean curvature. Zbl 0513.53002Barbosa, Joan Lucas; do Carmo, Manfredo Perdigão 99 1984 Hypersurfaces with constant mean curvature in spheres. Zbl 0802.53017Alencar, Hilário; do Carmo, Manfredo P. 74 1994 Minimal immersions of spheres into spheres. Zbl 0218.53069do Carmo, Manfredo Perdigão; Wallach, N. R. 63 1971 Rigidity and convexity of hypersurfaces in spheres. Zbl 0201.23702do Carmo, Manfredo Perdigão; Warner, F. W. 48 1970 On the size of a stable minimal surface im \(R^3\). Zbl 0332.53006Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 41 1976 Helicoidal surfaces with constant mean curvature. Zbl 0501.53003do Carmo, Manfredo Perdigão; Dajczer, Marcos 38 1982 Stable hypersurfaces with constant scalar curvature. Zbl 0792.53057Alencar, Hilário; do Carmo, Manfredo P.; Colares, A. G. 31 1993 Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001do Carmo, Manfredo P. 30 1994 Complete manifolds with non-negative Ricci curvature and the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1066.53073do Carmo, Manfredo Perdigão; Xia, Changyu 27 2004 On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface. Zbl 0816.53031Alencar, Hilário; do Carmo, Manfredo P.; Rosenberg, Harold 23 1993 Stability of minimal surfaces and eigenvalues of the Laplacian. Zbl 0417.53033Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 22 1980 On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun. 20 1983 Compact conformally flat hypersurfaces. Zbl 0537.53050do Carmo, Manfredo P.; Dajczer, Marcos; Mercuri, Francesco 19 1985 Stability of hypersurfaces with vanishing \(r\)-mean curvatures in Euclidean spaces. Zbl 1093.53063Alencar, Hilário; do Carmo, Manfredo; Elbert, Maria Fernanda 18 2003 Complete hypersurfaces with constant mean curvature and finite total curvature. Zbl 0921.53027Bérard, Pierre; do Carmo, Manfredo; Santos, W. 17 1998 Conformal rigidity. Zbl 0631.53043do Carmo, Manfredo P.; Dajczer, Marcos 16 1987 A Hopf theorem for ambient spaces of dimensions higher than three. Zbl 1197.53073Alencar, Hilário; do Carmo, Manfredo; Tribuzy, Renato 16 2010 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 1352.53002do Carmo, Manfredo Perdigão 15 2016 A proof of a general isoperimetric inequality for surfaces. Zbl 0369.53054Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 15 1978 Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 14 2010 Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301do Carmo, Manfredo Perdigão; Wallach, N. R. 14 1970 Eigenvalue estimate on complete noncompact Riemannian manifolds and applications. Zbl 0910.53039do Carmo, Manfredo P.; Zhou, Detang 13 1999 Ricci curvature and the topology of open manifolds. Zbl 0958.53025do Carmo, Manfredo; Xia, Changyu 12 2000 Isometric immersions with semi-definite second quadratic forms. Zbl 0177.50003do Carmo, Manfredo Perdigão; Lima, E. 12 1969 A theorem of Hopf and the Cauchy-Riemann inequality. Zbl 1134.53031Alencar, Hilario; Tribuzy, Renato; do Carmo, Manfredo 11 2007 Complete submanifolds with bounded mean curvature in a Hadamard manifold. Zbl 1198.53041do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 10 2010 Compact minimal hypersurfaces with index one in the real projective space. Zbl 0977.53059do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio 9 2000 On the compactness of constant mean curvature hypersurfaces with finite total curvature. Zbl 0981.53048do Carmo, Manfredo P.; Cheung, Leung-Fu; Santos, Walcy 9 1999 Local isometric immersions of \(\mathbb{R}^ 2\) into \(\mathbb{R}^ 4\). Zbl 0782.53018do Carmo, Manfredo P.; Dajczer, Marcos 9 1993 Riemannian geometry. (Geometria riemanniana). Zbl 0505.53001do Carmo, Manfredo Perdigão 9 1979 A gap theorem for hypersurfaces of the sphere with constant scalar curvature one. Zbl 1032.53045Alencar, Hilário; do Carmo, Manfredo; Santos, Walcy 8 2002 Bernstein-type theorems in hypersurfaces with constant mean curvature. Zbl 0978.53016do Carmo, Manfredo P.; Zhou, Detang 8 2000 Upper bounds for the first eigenvalue of the operator \(L_r\) and some applications. Zbl 0990.53058Alencar, Hilário; do Carmo, Manfredo; Marques, Fernando 8 2001 The index of constant mean curvature surfaces in hyperbolic 3-space. Zbl 0868.53010Bérard, Pierre; do Carmo, Manfredo P.; Santos, W. 8 1997 Immersions of manifolds with non-negative sectional curvatures. Zbl 0338.53041do Carmo, Manfredo Perdigão; Lima, E. 8 1971 Index and total curvature of surfaces with constant mean curvature. Zbl 0722.53055do Carmo, Manfredo P.; da Silveira, Alexandre M. 7 1990 On some fundamental equations of equivariant Riemannian geometry. Zbl 1205.53033Back, Allen; do Carmo, Manfredo P.; Hsiang, Wu-Yi 7 2009 The influence of the boundary behaviour on hypersurfaces with constant mean curvature in \(H^{n+1}\). Zbl 0614.53046do Carmo, Manfredo P.; de Miranda Gomes, J.; Thorbergsson, G. 6 1986 Stable minimal surfaces. Zbl 0286.53004Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 6 1974 Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth. Zbl 0787.53055Alencar, Hilário; do Carmo, Manfredo P. 6 1993 Differential geometry of curves and surfaces. Transl. from the Engl. by Michael Grüter. 2., durchges. Aufl. (Differentialgeometrie von Kurven und Flächen.) Zbl 0733.53001do Carmo, Manfredo P. 5 1992 Riemannian geometry. 5th edition, 2nd printing. (Geometria Riemanniana.) Zbl 1412.53001do Carmo, Manfredo Perdigão 5 2015 Necessary and sufficient conditions for existence of minimal hypersurfaces in spaces of constant curvature. Zbl 0604.53023do Carmo, Manfredo P.; Dajczer, Marcos 5 1981 On stable complete hypersurfaces with vanishing \(r\)-mean curvature. Zbl 1062.53052do Carmo, Manfredo; Elbert, Maria F. 4 2004 Spherical images of convex surfaces. Zbl 0229.53044do Carmo, Manfredo Perdigão; Lawson, B. 4 1972 On the stability of cones in \(\mathbb R^{n+1}\) with zero scalar curvature. Zbl 1082.53061Barbosa, J. L. M.; do Carmo, M. P. 4 2005 Helicoids, catenoids, and minimal hypersurfaces of \(R^ n \)invariant by an l-parameter group of motions. Zbl 0493.53044Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1981 Riemannian metrics induced by two immersions. Zbl 0496.53009do Carmo, Manfredo Perdigão; Dajczer, Marcos 4 1982 Stable complete minimal hypersurfaces. Zbl 0527.53035do Carmo, Manfredo Perdigão; Peng, C. K. 4 1982 Stability of minimal surfaces in spaces of constant curvature. Zbl 0462.53033Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1980 A Hopf theorem for open surfaces in product spaces. Zbl 1188.53072do Carmo, Manfredo; Fernández, Isabel 4 2009 The cohomology ring of certain Kählerian manifolds. Zbl 0132.16703do Carmo, Manfredo Perdigão 4 1965 A rigidity theorem for higher codimensions. Zbl 0579.53006do Carmo, Manfredo P.; Dajczer, Marcos 3 1986 Erratum to: On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface. Zbl 0822.53035Alencar, Hilario; do Carmo, Manfredo P.; Rosenberg, Harold 3 1995 Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051Alencar, Hilário; do Carmo, Manfredo P. 3 1994 Stability of minimal surfaces in a 3-dimensional hyperbolic space. Zbl 0469.53006Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 3 1981 On regular algebraic surfaces of \(\mathbb R^3\) with constant mean curvature. Zbl 1344.53009Barbosa, J. Lucas M.; do Carmo, Manfredo P. 3 2016 Hypersurfaces of constant mean curvature. Zbl 0683.53052do Carmo, Manfredo P. 2 1989 Manfredo P. do Carmo. Selected papers. Edited by Keti Tenenblat. Zbl 1240.53001do Carmo, Manfredo P. 2 2012 Erratum to “Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth”. Zbl 0833.53051Alencar, H.; Do Carmo, Manfredo P. 2 1995 A necessary condition for a metric in \(M^n\) to be minimally immersed in \(R^{n+1}\). Zbl 0402.53004Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 2 1978 Stability of minimal submanifolds. Zbl 0437.53041do Carmo, Manfredo Perdigão 2 1981 Globally stable complete minimal surfaces in \(R^3\). Zbl 0442.53011do Carmo, Manfredo Perdigão; da Silveira, A. M. 2 1980 On minimal immersions with parallel normal curvature tensor. Zbl 0387.53022Colares, A. G.; do Carmo, Manfredo Perdigão 2 1977 Positively-curved hypersurfaces of a Hilbert space. Zbl 0177.24603do Carmo, Manfredo Perdigão 2 1968 Minimal immersions of sphere bundles over spheres. Zbl 0205.51901do Carmo, Manfredo Perdigão; Wallach, N. R. 1 1970 Brief survey of minimal submanifolds. II. Zbl 0218.53071do Carmo, Manfredo Perdigão 1 1971 On the size of a stable minimal surface in \(R^3\). Zbl 0313.53002Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 1 1975 Constant mean curvature in Riemannian manifolds: stability questions. Zbl 0637.53072do Carmo, Manfredo P. 1 1987 Compact conformally flat hypersurfaces. Zbl 0518.53007do Carmo, Manfredo Perdigão; Dajczer, Marco; Mercuri, F. 1 1983 Differential forms and applications (Formas diferenciais e aplicações). Zbl 0538.53001do Carmo, Manfredo Perdigão 1 1983 Complete hypersurfaces in Euclidean spaces with finite strong total curvature. Zbl 1429.53011do Carmo, Manfredo; Elbert, Maria Fernanda 1 2019 Erratum to “Bernstein-type theorems in hypersurfaces with constant mean curvature”. Zbl 0978.53500do Carmo, Manfredo P.; Zhou, Detang 1 2001 A theorem of H. Hopf and the Cauchy-Riemann inequality. II. Zbl 1157.53349Alencar, Hilário; do Carmo, Manfredo; Fernández, Isabel; Tribuzy, Renato 1 2007 Minimal immersions of spheres into spheres. Zbl 0183.26404do Carmo, Manfredo Perdigão.; Wallach, N. R. 1 1969 Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). Zbl 1407.32002Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A. 1 2014 Complete hypersurfaces in Euclidean spaces with finite strong total curvature. Zbl 1429.53011do 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 1352.53002do Carmo, Manfredo Perdigão 15 2016 On regular algebraic surfaces of \(\mathbb R^3\) with constant mean curvature. Zbl 1344.53009Barbosa, J. Lucas M.; do Carmo, Manfredo P. 3 2016 Riemannian geometry. 5th edition, 2nd printing. (Geometria Riemanniana.) Zbl 1412.53001do Carmo, Manfredo Perdigão 5 2015 Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). Zbl 1407.32002Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A. 1 2014 Manfredo P. do Carmo. Selected papers. Edited by Keti Tenenblat. Zbl 1240.53001do Carmo, Manfredo P. 2 2012 A Hopf theorem for ambient spaces of dimensions higher than three. Zbl 1197.53073Alencar, Hilário; do Carmo, Manfredo; Tribuzy, Renato 16 2010 Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 14 2010 Complete submanifolds with bounded mean curvature in a Hadamard manifold. Zbl 1198.53041do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu 10 2010 On some fundamental equations of equivariant Riemannian geometry. Zbl 1205.53033Back, Allen; do Carmo, Manfredo P.; Hsiang, Wu-Yi 7 2009 A Hopf theorem for open surfaces in product spaces. Zbl 1188.53072do Carmo, Manfredo; Fernández, Isabel 4 2009 A theorem of Hopf and the Cauchy-Riemann inequality. Zbl 1134.53031Alencar, Hilario; Tribuzy, Renato; do Carmo, Manfredo 11 2007 A theorem of H. Hopf and the Cauchy-Riemann inequality. II. Zbl 1157.53349Alencar, 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 1082.53061Barbosa, J. L. M.; do Carmo, M. P. 4 2005 Complete manifolds with non-negative Ricci curvature and the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1066.53073do Carmo, Manfredo Perdigão; Xia, Changyu 27 2004 On stable complete hypersurfaces with vanishing \(r\)-mean curvature. Zbl 1062.53052do Carmo, Manfredo; Elbert, Maria F. 4 2004 Stability of hypersurfaces with vanishing \(r\)-mean curvatures in Euclidean spaces. Zbl 1093.53063Alencar, Hilário; do Carmo, Manfredo; Elbert, Maria Fernanda 18 2003 A gap theorem for hypersurfaces of the sphere with constant scalar curvature one. Zbl 1032.53045Alencar, Hilário; do Carmo, Manfredo; Santos, Walcy 8 2002 Upper bounds for the first eigenvalue of the operator \(L_r\) and some applications. Zbl 0990.53058Alencar, Hilário; do Carmo, Manfredo; Marques, Fernando 8 2001 Erratum to “Bernstein-type theorems in hypersurfaces with constant mean curvature”. Zbl 0978.53500do Carmo, Manfredo P.; Zhou, Detang 1 2001 Ricci curvature and the topology of open manifolds. Zbl 0958.53025do Carmo, Manfredo; Xia, Changyu 12 2000 Compact minimal hypersurfaces with index one in the real projective space. Zbl 0977.53059do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio 9 2000 Bernstein-type theorems in hypersurfaces with constant mean curvature. Zbl 0978.53016do Carmo, Manfredo P.; Zhou, Detang 8 2000 Eigenvalue estimate on complete noncompact Riemannian manifolds and applications. Zbl 0910.53039do Carmo, Manfredo P.; Zhou, Detang 13 1999 On the compactness of constant mean curvature hypersurfaces with finite total curvature. Zbl 0981.53048do Carmo, Manfredo P.; Cheung, Leung-Fu; Santos, Walcy 9 1999 Complete hypersurfaces with constant mean curvature and finite total curvature. Zbl 0921.53027Bérard, Pierre; do Carmo, Manfredo; Santos, W. 17 1998 The index of constant mean curvature surfaces in hyperbolic 3-space. Zbl 0868.53010Bérard, 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 0822.53035Alencar, 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 0833.53051Alencar, H.; Do Carmo, Manfredo P. 2 1995 Hypersurfaces with constant mean curvature in spheres. Zbl 0802.53017Alencar, Hilário; do Carmo, Manfredo P. 74 1994 Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001do Carmo, Manfredo P. 30 1994 Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051Alencar, Hilário; do Carmo, Manfredo P. 3 1994 Stable hypersurfaces with constant scalar curvature. Zbl 0792.53057Alencar, Hilário; do Carmo, Manfredo P.; Colares, A. G. 31 1993 On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface. Zbl 0816.53031Alencar, Hilário; do Carmo, Manfredo P.; Rosenberg, Harold 23 1993 Local isometric immersions of \(\mathbb{R}^ 2\) into \(\mathbb{R}^ 4\). Zbl 0782.53018do Carmo, Manfredo P.; Dajczer, Marcos 9 1993 Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth. Zbl 0787.53055Alencar, Hilário; do Carmo, Manfredo P. 6 1993 Riemannian geometry. Translated from the Portuguese by Francis Flaherty. Zbl 0752.53001do Carmo, Manfredo Perdigão 296 1992 Differential geometry of curves and surfaces. Transl. from the Engl. by Michael Grüter. 2., durchges. Aufl. (Differentialgeometrie von Kurven und Flächen.) Zbl 0733.53001do Carmo, Manfredo P. 5 1992 Index and total curvature of surfaces with constant mean curvature. Zbl 0722.53055do Carmo, Manfredo P.; da Silveira, Alexandre M. 7 1990 Hypersurfaces of constant mean curvature. Zbl 0683.53052do Carmo, Manfredo P. 2 1989 Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Zbl 0653.53045Barbosa, J. Lucas; do Carmo, Manfredo P.; Eschenburg, Jost-Hinrich 146 1988 Conformal rigidity. Zbl 0631.53043do Carmo, Manfredo P.; Dajczer, Marcos 16 1987 Constant mean curvature in Riemannian manifolds: stability questions. Zbl 0637.53072do Carmo, Manfredo P. 1 1987 The influence of the boundary behaviour on hypersurfaces with constant mean curvature in \(H^{n+1}\). Zbl 0614.53046do Carmo, Manfredo P.; de Miranda Gomes, J.; Thorbergsson, G. 6 1986 A rigidity theorem for higher codimensions. Zbl 0579.53006do Carmo, Manfredo P.; Dajczer, Marcos 3 1986 Compact conformally flat hypersurfaces. Zbl 0537.53050do Carmo, Manfredo P.; Dajczer, Marcos; Mercuri, Francesco 19 1985 Stability of hypersurfaces with constant mean curvature. Zbl 0513.53002Barbosa, Joan Lucas; do Carmo, Manfredo Perdigão 99 1984 Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059do Carmo, Manfredo Perdigão; Dajczer, Marco 109 1983 On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun. 20 1983 Compact conformally flat hypersurfaces. Zbl 0518.53007do Carmo, Manfredo Perdigão; Dajczer, Marco; Mercuri, F. 1 1983 Differential forms and applications (Formas diferenciais e aplicações). Zbl 0538.53001do Carmo, Manfredo Perdigão 1 1983 Helicoidal surfaces with constant mean curvature. Zbl 0501.53003do Carmo, Manfredo Perdigão; Dajczer, Marcos 38 1982 Riemannian metrics induced by two immersions. Zbl 0496.53009do Carmo, Manfredo Perdigão; Dajczer, Marcos 4 1982 Stable complete minimal hypersurfaces. Zbl 0527.53035do Carmo, Manfredo Perdigão; Peng, C. K. 4 1982 Necessary and sufficient conditions for existence of minimal hypersurfaces in spaces of constant curvature. Zbl 0604.53023do Carmo, Manfredo P.; Dajczer, Marcos 5 1981 Helicoids, catenoids, and minimal hypersurfaces of \(R^ n \)invariant by an l-parameter group of motions. Zbl 0493.53044Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1981 Stability of minimal surfaces in a 3-dimensional hyperbolic space. Zbl 0469.53006Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 3 1981 Stability of minimal submanifolds. Zbl 0437.53041do Carmo, Manfredo Perdigão 2 1981 Stability of minimal surfaces and eigenvalues of the Laplacian. Zbl 0417.53033Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 22 1980 Stability of minimal surfaces in spaces of constant curvature. Zbl 0462.53033Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 4 1980 Globally stable complete minimal surfaces in \(R^3\). Zbl 0442.53011do Carmo, Manfredo Perdigão; da Silveira, A. M. 2 1980 Stable complete minimal surfaces in \(R^3\) are planes. Zbl 0442.53013do Carmo, Manfredo Perdigão; Peng, C. K. 102 1979 Riemannian geometry. (Geometria riemanniana). Zbl 0505.53001do Carmo, Manfredo Perdigão 9 1979 A proof of a general isoperimetric inequality for surfaces. Zbl 0369.53054Barbosa, 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 0402.53004Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 2 1978 On minimal immersions with parallel normal curvature tensor. Zbl 0387.53022Colares, A. G.; do Carmo, Manfredo Perdigão 2 1977 Differential geometry of curves and surfaces. Zbl 0326.53001do Carmo, Manfredo Perdigão 706 1976 On the size of a stable minimal surface im \(R^3\). Zbl 0332.53006Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 41 1976 On the size of a stable minimal surface in \(R^3\). Zbl 0313.53002Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 1 1975 Stable minimal surfaces. Zbl 0286.53004Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão 6 1974 Spherical images of convex surfaces. Zbl 0229.53044do Carmo, Manfredo Perdigão; Lawson, B. 4 1972 Minimal immersions of spheres into spheres. Zbl 0218.53069do Carmo, Manfredo Perdigão; Wallach, N. R. 63 1971 Immersions of manifolds with non-negative sectional curvatures. Zbl 0338.53041do Carmo, Manfredo Perdigão; Lima, E. 8 1971 Brief survey of minimal submanifolds. II. Zbl 0218.53071do Carmo, Manfredo Perdigão 1 1971 Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S. 223 1970 Rigidity and convexity of hypersurfaces in spheres. Zbl 0201.23702do Carmo, Manfredo Perdigão; Warner, F. W. 48 1970 Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301do Carmo, Manfredo Perdigão; Wallach, N. R. 14 1970 Minimal immersions of sphere bundles over spheres. Zbl 0205.51901do Carmo, Manfredo Perdigão; Wallach, N. R. 1 1970 Isometric immersions with semi-definite second quadratic forms. Zbl 0177.50003do Carmo, Manfredo Perdigão; Lima, E. 12 1969 Minimal immersions of spheres into spheres. Zbl 0183.26404do Carmo, Manfredo Perdigão.; Wallach, N. R. 1 1969 Positively-curved hypersurfaces of a Hilbert space. Zbl 0177.24603do Carmo, Manfredo Perdigão 2 1968 The cohomology ring of certain Kählerian manifolds. Zbl 0132.16703do Carmo, Manfredo Perdigão 4 1965 all cited Publications top 5 cited Publications all top 5 Cited by 2,493 Authors 48 de Lima, Henrique F. 25 Velásquez, Marco Antonio Lázaro 23 Alías, Luis J. 22 do Carmo, Manfredo Perdigão 20 Xia, Changyu 20 Xu, Hongwei 19 Li, Haizhong 17 Rosenberg, Harold 16 Dajczer, Marcos 16 Dos Santos, Fábio Reis 13 Alencar, Hilário 13 Espinar, José María 13 Meeks, William Hamilton III 13 Wang, Qiaoling 12 de Lima, Eudes Leite 12 Rosales, César 12 Zhou, Detang 11 Chaves Brasil Junior, Aldir 11 Fetcu, Dorel 11 Otsuki, Tominosuke 11 Wei, Guoxin 10 Aquino, Cicero Pedro 10 Chen, Bang-Yen 10 Farouki, Rida T. 10 Fu, Haiping 10 Kristály, Alexandru 10 Perdomo, Oscar Mario 10 Vlachos, Theodoros 10 Xu, Guoliang 10 Xu, Xiaowei 9 Cheng, Qingming 9 Gálvez, Jose Antonio 9 Hu, Zejun 9 Meléndez, Josué 9 Palmas, Oscar 8 Batista, Márcio 8 Caminha, Antonio 8 de Almeida Cavalcante, Marcos Petrúcio 8 da Silva, Jonatan Floriano 8 Hurtado, Ana 8 Korpinar, Talat 8 López Camino, Rafael 8 Pottmann, Helmut 8 Toth, Gabor 7 Barbosa, João Lucas Marques 7 Chaves, Rosa Maria Barreiro 7 Colares, Antonio Gervásio 7 Ferreira, Orizon Pereira 7 Garay, Oscar Jesus 7 Ghosh, Pinaki Ranjan 7 Hou, Zhonghua 7 Kim, Youngho 7 Palmer, Vicente 7 Peng, Chiakuei 7 Pérez Muñoz, Joaquín 7 Rigoli, Marco 7 Ripoll, Jaime Bruck 7 Ros, Antonio 7 Seo, Keomkyo 7 Shaikh, Absos Ali 7 Shu, Shichang 6 Bhattacharya, Rabi N. 6 Chen, Sheng-Gwo 6 Ciarlet, Philippe Gaston 6 de Almeida, Sebastião Carneiro 6 Güler, Erhan 6 Hurder, Steven E. 6 Kasap, Emin 6 Koiso, Miyuki 6 Mercuri, Francesco 6 Nelli, Barbara 6 Ogiue, Koichi 6 Oniciuc, Cezar 6 Ritoré, Manuel 6 Roth, Julien 6 Sá Earp, Ricardo 6 Silva Neto, Gregório 6 Simon, Udo 6 Solouma, Emad M. 6 Tojeiro, Ruy 6 Wallner, Johannes 6 Xu, Zhiyuan 5 Ahmad, Daud 5 Alcazar, Juan Gerardo 5 Barbosa, Ezequiel R. 5 Barros, Abdênago A. 5 Carlotto, Alessandro 5 Cheung, Leung-Fu 5 Du, Feng 5 Garcia, Ronaldo A. 5 Ghomi, Mohammad 5 Gimeno, Vicent 5 Gu, Juan-Ru 5 Herrera, Blas 5 Itoh, Takehiro 5 Jorge, Luquésio P. M. 5 Kim, Dongsoo S. 5 Li, Guanghan 5 Lima, Eraldo Almeida jun. 5 Maekawa, Takashi ...and 2,393 more Authors all top 5 Cited in 424 Serials 74 Proceedings of the American Mathematical Society 72 Computer Aided Geometric Design 54 The Journal of Geometric Analysis 51 Transactions of the American Mathematical Society 51 Differential Geometry and its Applications 46 Journal of Mathematical Analysis and Applications 45 Calculus of Variations and Partial Differential Equations 43 Journal of Geometry and Physics 43 Mathematische Zeitschrift 39 Geometriae Dedicata 38 Annals of Global Analysis and Geometry 36 Mathematische Annalen 31 Tohoku Mathematical Journal. Second Series 30 Annali di Matematica Pura ed Applicata. Serie Quarta 28 Kodai Mathematical Journal 28 Results in Mathematics 25 Bulletin of the Brazilian Mathematical Society. New Series 23 Manuscripta Mathematica 21 Applied Mathematics and Computation 20 Archiv der Mathematik 20 Journal of Geometry 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Advances in Mathematics 19 Journal of Differential Equations 18 Archive for Rational Mechanics and Analysis 17 Journal of Computational Physics 16 Duke Mathematical Journal 16 Mediterranean Journal of Mathematics 15 Monatshefte für Mathematik 14 Journal of Computational and Applied Mathematics 14 Journal of Optimization Theory and Applications 14 Journal of Elasticity 13 Inventiones Mathematicae 12 Journal of Mathematical Physics 12 Anais da Academia Brasileira de Ciências 12 Journal of Functional Analysis 12 International Journal of Computer Vision 12 Science China. Mathematics 11 Computers & Mathematics with Applications 11 Israel Journal of Mathematics 11 Rocky Mountain Journal of Mathematics 11 Journal of Mathematical Imaging and Vision 11 Acta Mathematica Sinica. English Series 11 International Journal of Geometric Methods in Modern Physics 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of Nonlinear Science 9 Annales de l’Institut Fourier 9 Boletim da Sociedade Brasileira de Matemática 9 Michigan Mathematical Journal 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Advances in Computational Mathematics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Topology and its Applications 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Revista Matemática Iberoamericana 8 International Journal of Mathematics 7 Bulletin of the Australian Mathematical Society 7 Communications in Mathematical Physics 7 Discrete & Computational Geometry 7 Applied Mathematics Letters 7 Journal of Scientific Computing 7 Applied Mathematics. Series B (English Edition) 7 Journal of Inequalities and Applications 7 Advances in Mathematical Physics 6 General Relativity and Gravitation 6 Arkiv för Matematik 6 Illinois Journal of Mathematics 6 Journal of the Mathematical Society of Japan 6 Mathematische Nachrichten 6 Quarterly of Applied Mathematics 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Chinese Annals of Mathematics. Series B 6 Bulletin of the American Mathematical Society. New Series 6 Potential Analysis 6 Journal of Mathematical Sciences (New York) 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Kodai Mathematical Seminar Reports 6 International Electronic Journal of Geometry 5 American Mathematical Monthly 5 Physics Letters. A 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Chaos, Solitons and Fractals 5 Beiträge zur Algebra und Geometrie 5 The Annals of Statistics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Applied Numerical Mathematics 5 Computational Geometry 5 Journal of Global Optimization 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 5 Applied and Computational Harmonic Analysis 5 Mathematical Problems in Engineering 5 Mathematics and Mechanics of Solids 5 Annals of Mathematics. Second Series 5 Journal of Dynamical Systems and Geometric Theories 5 Boletim da Sociedade Paranaense de Matemática. Terceira Série 4 Indian Journal of Pure & Applied Mathematics 4 Journal of the Mechanics and Physics of Solids 4 Automatica 4 Compositio Mathematica 4 Glasgow Mathematical Journal ...and 324 more Serials all top 5 Cited in 59 Fields 1,404 Differential geometry (53-XX) 262 Global analysis, analysis on manifolds (58-XX) 234 Partial differential equations (35-XX) 227 Numerical analysis (65-XX) 199 Calculus of variations and optimal control; optimization (49-XX) 105 Computer science (68-XX) 77 Mechanics of deformable solids (74-XX) 73 Manifolds and cell complexes (57-XX) 69 Dynamical systems and ergodic theory (37-XX) 60 Fluid mechanics (76-XX) 49 Convex and discrete geometry (52-XX) 49 Operations research, mathematical programming (90-XX) 45 Ordinary differential equations (34-XX) 43 Probability theory and stochastic processes (60-XX) 35 Relativity and gravitational theory (83-XX) 34 Statistics (62-XX) 32 Mechanics of particles and systems (70-XX) 31 Real functions (26-XX) 31 Biology and other natural sciences (92-XX) 28 Potential theory (31-XX) 27 Functional analysis (46-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Approximations and expansions (41-XX) 25 Functions of a complex variable (30-XX) 23 Operator theory (47-XX) 22 Quantum theory (81-XX) 21 Several complex variables and analytic spaces (32-XX) 21 Geometry (51-XX) 21 Systems theory; control (93-XX) 20 Algebraic geometry (14-XX) 15 Information and communication theory, circuits (94-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Combinatorics (05-XX) 12 Topological groups, Lie groups (22-XX) 12 General topology (54-XX) 11 Algebraic topology (55-XX) 9 Group theory and generalizations (20-XX) 9 Optics, electromagnetic theory (78-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 General and overarching topics; collections (00-XX) 7 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Special functions (33-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Number theory (11-XX) 4 Abstract harmonic analysis (43-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mathematics education (97-XX) 2 Associative rings and algebras (16-XX) 2 Integral equations (45-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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