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do Carmo, Manfredo Perdigão (b. 1928 d. 2018)

Author ID: do-carmo.manfredo-perdigao Recent zbMATH articles by "do Carmo, Manfredo Perdigão"
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.
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
1,383 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 3,676 times in 3,128 Documents Cited by Year
Differential geometry of curves and surfaces. Zbl 0326.53001
do Carmo, Manfredo Perdigão
1976
Riemannian geometry. Translated from the Portuguese by Francis Flaherty. Zbl 0752.53001
do Carmo, Manfredo Perdigão
841
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.
276
1970
Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Zbl 0653.53045
Barbosa, J. Lucas; do Carmo, Manfredo P.; Eschenburg, Jost-Hinrich
171
1988
Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059
do Carmo, Manfredo Perdigão; Dajczer, Marco
134
1983
Stability of hypersurfaces with constant mean curvature. Zbl 0513.53002
Barbosa, Joan Lucas; do Carmo, Manfredo Perdigão
125
1984
Stable complete minimal surfaces in \(R^3\) are planes. Zbl 0442.53013
do Carmo, Manfredo Perdigão; Peng, C. K.
121
1979
Hypersurfaces with constant mean curvature in spheres. Zbl 0802.53017
Alencar, Hilário; do Carmo, Manfredo P.
89
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.
60
1970
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
51
2016
Helicoidal surfaces with constant mean curvature. Zbl 0501.53003
do Carmo, Manfredo Perdigão; Dajczer, Marcos
47
1982
On the size of a stable minimal surface im \(R^3\). Zbl 0332.53006
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
44
1976
Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001
do Carmo, Manfredo P.
39
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
34
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
26
1980
On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049
do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun.
25
1983
Stability of hypersurfaces with vanishing \(r\)-mean curvatures in Euclidean spaces. Zbl 1093.53063
Alencar, Hilário; do Carmo, Manfredo; Elbert, Maria Fernanda
22
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
18
2010
Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200
Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu
16
2010
Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301
do Carmo, Manfredo Perdigão; Wallach, Nolan R.
15
1970
A proof of a general isoperimetric inequality for surfaces. Zbl 0369.53054
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
15
1978
Stable complete minimal hypersurfaces. Zbl 0527.53035
do Carmo, Manfredo Perdigão; Peng, C. K.
14
1982
Compact minimal hypersurfaces with index one in the real projective space. Zbl 0977.53059
do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio
14
2000
Eigenvalue estimate on complete noncompact Riemannian manifolds and applications. Zbl 0910.53039
do Carmo, Manfredo P.; Zhou, Detang
14
1999
Ricci curvature and the topology of open manifolds. Zbl 0958.53025
do Carmo, Manfredo; Xia, Changyu
13
2000
A theorem of Hopf and the Cauchy-Riemann inequality. Zbl 1134.53031
Alencar, Hilario; Tribuzy, Renato; do Carmo, Manfredo
13
2007
Isometric immersions with semi-definite second quadratic forms. Zbl 0177.50003
do Carmo, Manfredo Perdigão; Lima, E.
12
1969
Riemannian geometry. (Geometria riemanniana). Zbl 0505.53001
do Carmo, Manfredo Perdigão
12
1979
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
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
Bernstein-type theorems in hypersurfaces with constant mean curvature. Zbl 0978.53016
do Carmo, Manfredo P.; Zhou, Detang
9
2000
Local isometric immersions of \(\mathbb{R}^ 2\) into \(\mathbb{R}^ 4\). Zbl 0782.53018
do Carmo, Manfredo P.; Dajczer, Marcos
9
1993
Immersions of manifolds with non-negative sectional curvatures. Zbl 0338.53041
do Carmo, Manfredo Perdigão; Lima, E.
9
1971
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
8
2009
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
Riemannian geometry. 5th edition, 2nd printing. (Geometria Riemanniana.) Zbl 1412.53001
do Carmo, Manfredo Perdigão
7
2015
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
Geometry and topology. III. Latin American School of Mathematics. Proceedings of the school held at the Instituto de Matematica Pura e Aplicada CNPq, Rio de Janeiro, July 1976. Zbl 0347.00010
6
1977
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
Spherical images of convex surfaces. Zbl 0229.53044
do Carmo, Manfredo Perdigão; Lawson, B.
4
1972
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
On stable complete hypersurfaces with vanishing \(r\)-mean curvature. Zbl 1062.53052
do Carmo, Manfredo; Elbert, Maria F.
4
2004
Riemannian metrics induced by two immersions. Zbl 0496.53009
do Carmo, Manfredo Perdigão; Dajczer, Marcos
4
1982
Stability of minimal surfaces in spaces of constant curvature. Zbl 0462.53033
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
4
1980
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
Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051
Alencar, Hilário; do Carmo, Manfredo P.
4
1994
A Hopf theorem for open surfaces in product spaces. Zbl 1188.53072
do Carmo, Manfredo; Fernández, Isabel
4
2009
Hypersurfaces of constant mean curvature. Zbl 0683.53052
do Carmo, Manfredo P.
3
1989
Differential forms and applications. (Formas diferenciais e aplicações.) Zbl 0538.53001
do Carmo, Manfredo Perdigão
3
1983
A rigidity theorem for higher codimensions. Zbl 0579.53006
do Carmo, Manfredo P.; Dajczer, Marcos
3
1986
Stability of minimal surfaces in a 3-dimensional hyperbolic space. Zbl 0469.53006
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
3
1981
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
On minimal immersions with parallel normal curvature tensor. Zbl 0387.53022
Colares, A. G.; do Carmo, Manfredo Perdigão
3
1977
Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). Zbl 1407.32002
Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A.
2
2014
Positively-curved hypersurfaces of a Hilbert space. Zbl 0177.24603
do Carmo, Manfredo Perdigão
2
1968
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
Globally stable complete minimal surfaces in \(R^3\). Zbl 0442.53011
do Carmo, Manfredo Perdigão; da Silveira, A. M.
2
1980
Stability of minimal submanifolds. Zbl 0437.53041
do Carmo, Manfredo Perdigão
2
1981
Manfredo P. do Carmo. Selected papers. Edited by Keti Tenenblat. Zbl 1240.53001
do Carmo, Manfredo P.
2
2012
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
Stable hypersurfaces with zero scalar curvature in Euclidean space. Zbl 1360.53016
Alencar, Hilário; do Carmo, Manfredo; Silva Neto, Gregório
2
2016
Complete hypersurfaces in Euclidean spaces with finite strong total curvature. Zbl 1429.53011
do Carmo, Manfredo; Elbert, Maria Fernanda
1
2019
Minimal immersions of sphere bundles over spheres. Zbl 0205.51901
do Carmo, Manfredo Perdigão; Wallach, Nolan R.
1
1970
Brief survey of minimal submanifolds. II. Zbl 0218.53071
do Carmo, Manfredo Perdigão
1
1971
Minimal immersions of spheres into spheres. Zbl 0183.26404
do Carmo, Manfredo Perdigão.; Wallach, N. R.
1
1969
Remarks on the growth of functions and the weak stability of hypersurfaces with constant mean curvature. Zbl 0902.53007
Alencar, H.; do Carmo, M.
1
1997
Compact conformally flat hypersurfaces. Zbl 0518.53007
do Carmo, Manfredo Perdigão; Dajczer, Marco; Mercuri, F.
1
1983
On the size of a stable minimal surface in \(R^3\). Zbl 0313.53002
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
1
1975
Erratum to “Bernstein-type theorems in hypersurfaces with constant mean curvature”. Zbl 0978.53500
do Carmo, Manfredo P.; Zhou, Detang
1
2001
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
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
51
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
18
2010
Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200
Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu
16
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
8
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
34
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
22
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
9
2000
Eigenvalue estimate on complete noncompact Riemannian manifolds and applications. Zbl 0910.53039
do Carmo, Manfredo P.; Zhou, Detang
14
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
Remarks on the growth of functions and the weak stability of hypersurfaces with constant mean curvature. Zbl 0902.53007
Alencar, H.; do Carmo, M.
1
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.
89
1994
Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001
do Carmo, Manfredo P.
39
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
841
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.
3
1989
Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Zbl 0653.53045
Barbosa, J. Lucas; do Carmo, Manfredo P.; Eschenburg, Jost-Hinrich
171
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
125
1984
Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059
do Carmo, Manfredo Perdigão; Dajczer, Marco
134
1983
On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049
do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun.
25
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
47
1982
Stable complete minimal hypersurfaces. Zbl 0527.53035
do Carmo, Manfredo Perdigão; Peng, C. K.
14
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
26
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.
121
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
Geometry and topology. III. Latin American School of Mathematics. Proceedings of the school held at the Instituto de Matematica Pura e Aplicada CNPq, Rio de Janeiro, July 1976. Zbl 0347.00010
6
1977
On minimal immersions with parallel normal curvature tensor. Zbl 0387.53022
Colares, A. G.; do Carmo, Manfredo Perdigão
3
1977
Differential geometry of curves and surfaces. Zbl 0326.53001
do Carmo, Manfredo Perdigão
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.
9
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.
276
1970
Rigidity and convexity of hypersurfaces in spheres. Zbl 0201.23702
do Carmo, Manfredo Perdigão; Warner, F. W.
60
1970
Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301
do Carmo, Manfredo Perdigão; Wallach, Nolan R.
15
1970
Minimal immersions of sphere bundles over spheres. Zbl 0205.51901
do Carmo, Manfredo Perdigão; Wallach, Nolan 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 top 5

Cited by 3,817 Authors

57 de Lima, Henrique F.
33 Velásquez, Marco Antonio Lázaro
27 Xu, Hongwei
23 Alías, Luis J.
22 do Carmo, Manfredo Perdigão
22 Dos Santos, Fábio Reis
22 Korpinar, Talat
22 Li, Haizhong
21 Xia, Changyu
20 Ferreira, Orizon Pereira
19 Dajczer, Marcos
17 Kristály, Alexandru
17 Rosales, César
17 Rosenberg, Harold
15 Alencar, Hilário
14 Batista, Márcio
14 de Lima, Eudes Leite
14 Meeks, William Hamilton III
14 Wang, Qiaoling
14 Zhou, Detang
13 Espinar, José María
13 Fetcu, Dorel
13 Meléndez, Josué
13 Wei, Guoxin
12 Chaves Brasil Junior, Aldir
12 Chen, Bang-Yen
12 Gálvez, Jose Antonio
12 Hu, Zejun
12 Yao, Jen-Chih
11 Cheng, Qingming
11 Oniciuc, Cezar
11 Otsuki, Tominosuke
11 Palmas, Oscar
11 Palmer, Vicente
11 Vlachos, Theodoros
11 Xu, Guoliang
11 Xu, Xiaowei
10 Aquino, Cicero Pedro
10 de Almeida Cavalcante, Marcos Petrúcio
10 Farouki, Rida T.
10 Fu, Haiping
10 Güler, Erhan
10 Kasap, Emin
10 López Camino, Rafael
10 Perdomo, Oscar Mario
10 Toth, Gabor
9 da Cruz Neto, João Xavier
9 Gimeno, Vicent
9 Hurtado, Ana
9 Li, Chong
9 Oliveira, Paulo Roberto
9 Piccione, Paolo
9 Pouryayevali, Mohamad Reza
9 Rigoli, Marco
9 Shaikh, Absos Ali
8 Abdel-Baky, Rashad A.
8 Barros, Abdênago A.
8 Caminha, Antonio
8 Colares, Antonio Gervásio
8 da Silva, Jonatan Floriano
8 Ghosh, Pinaki Ranjan
8 Khammahawong, Konrawut
8 Kim, Youngho
8 Koiso, Miyuki
8 Pérez Muñoz, Joaquín
8 Pottmann, Helmut
8 Ripoll, Jaime Bruck
8 Ros, Antonio
8 Roth, Julien
8 Senyurt, Suleyman
8 Seo, Keomkyo
8 Silva Neto, Gregório
8 Solouma, Emad M.
8 Tojeiro, Ruy
8 Vitório, Feliciano A.
8 Wallner, Johannes
8 Yavari, Arash
8 Zhao, En-Tao
7 Ansari, Qamrul Hasan
7 Barbosa, Ezequiel R.
7 Barbosa, João Lucas Marques
7 Bayram, Ergin
7 Bhattacharya, Rabi N.
7 Chaipunya, Parin
7 Chaves, Rosa Maria Barreiro
7 Chen, Gui-Qiang G.
7 Fei, Jie
7 Garay, Oscar Jesus
7 Gu, Juan-Ru
7 Kumam, Poom
7 Lei, Li
7 Lima, Eraldo Almeida jun.
7 Loi, Andrea
7 Mira, Pablo
7 Mirandola, Heudson
7 Németh, Sándor Zoltán
7 Peng, Chiakuei
7 Ritoré, Manuel
7 Romero, Alfonso
7 Shu, Shichang
...and 3,717 more Authors
all top 5

Cited in 543 Serials

101 Computer Aided Geometric Design
87 Proceedings of the American Mathematical Society
77 The Journal of Geometric Analysis
75 Journal of Mathematical Analysis and Applications
74 Differential Geometry and its Applications
58 Journal of Geometry and Physics
55 Transactions of the American Mathematical Society
55 Calculus of Variations and Partial Differential Equations
47 Mathematische Zeitschrift
45 Geometriae Dedicata
45 Annals of Global Analysis and Geometry
40 Annali di Matematica Pura ed Applicata. Serie Quarta
39 Mathematische Annalen
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Results in Mathematics
34 Applied Mathematics and Computation
34 Tôhoku Mathematical Journal. Second Series
33 Advances in Mathematics
29 Journal of Differential Equations
29 Kodai Mathematical Journal
29 Bulletin of the Brazilian Mathematical Society. New Series
27 International Journal of Geometric Methods in Modern Physics
26 Archive for Rational Mechanics and Analysis
26 Manuscripta Mathematica
25 Journal of Mathematical Physics
25 Journal of Computational and Applied Mathematics
25 Journal of Functional Analysis
25 Journal of Geometry
24 Journal of Computational Physics
24 Mediterranean Journal of Mathematics
23 Journal of Optimization Theory and Applications
21 Archiv der Mathematik
19 Computer Methods in Applied Mechanics and Engineering
19 Journal of Elasticity
19 Journal of Mathematical Imaging and Vision
18 Mathematische Nachrichten
17 Israel Journal of Mathematics
16 Duke Mathematical Journal
16 Monatshefte für Mathematik
15 Journal of Nonlinear Science
15 Science China. Mathematics
14 Communications in Mathematical Physics
14 Inventiones Mathematicae
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 International Journal of Computer Vision
14 Advances in Computational Mathematics
14 Journal of Inequalities and Applications
13 Topology and its Applications
13 Physica D
13 Boletim da Sociedade Paranaense de Matemática. Terceira Série
12 Computers & Mathematics with Applications
12 Mathematical Methods in the Applied Sciences
12 Rocky Mountain Journal of Mathematics
12 Chaos, Solitons and Fractals
12 Anais da Academia Brasileira de Ciências
12 Acta Mathematica Sinica. English Series
11 Annales de l’Institut Fourier
11 Revista Matemática Iberoamericana
11 Applied and Computational Harmonic Analysis
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 American Mathematical Monthly
10 Automatica
10 Rendiconti del Circolo Matemàtico di Palermo. Serie II
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 International Journal of Mathematics
10 Discrete and Continuous Dynamical Systems
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 International Electronic Journal of Geometry
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Boletim da Sociedade Brasileira de Matemática
9 Michigan Mathematical Journal
9 Optimization
9 Discrete & Computational Geometry
9 SIAM Journal on Scientific Computing
9 Turkish Journal of Mathematics
9 SIAM Journal on Imaging Sciences
9 Advances in Mathematical Physics
8 The Annals of Statistics
8 Bulletin of the London Mathematical Society
8 Journal für die Reine und Angewandte Mathematik
8 Quarterly of Applied Mathematics
8 Chinese Annals of Mathematics. Series B
8 Applied Numerical Mathematics
8 Journal of Complexity
8 Mathematical and Computer Modelling
8 Journal of Scientific Computing
8 Journal of Global Optimization
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Journal of Mathematical Sciences (New York)
8 Journal of the Egyptian Mathematical Society
8 Communications in Contemporary Mathematics
8 Foundations of Computational Mathematics
7 Bulletin of the Australian Mathematical Society
7 Communications on Pure and Applied Mathematics
7 Nonlinearity
7 Journal of Mathematical Economics
7 Journal of the Mathematical Society of Japan
7 Applied Mathematics Letters
7 SIAM Journal on Applied Mathematics
7 Mathematical Programming. Series A. Series B
...and 443 more Serials
all top 5

Cited in 61 Fields

1,955 Differential geometry (53-XX)
434 Global analysis, analysis on manifolds (58-XX)
392 Partial differential equations (35-XX)
356 Numerical analysis (65-XX)
316 Calculus of variations and optimal control; optimization (49-XX)
155 Computer science (68-XX)
136 Dynamical systems and ergodic theory (37-XX)
120 Mechanics of deformable solids (74-XX)
115 Manifolds and cell complexes (57-XX)
114 Operations research, mathematical programming (90-XX)
97 Fluid mechanics (76-XX)
79 Probability theory and stochastic processes (60-XX)
79 Mechanics of particles and systems (70-XX)
72 Statistics (62-XX)
70 Convex and discrete geometry (52-XX)
66 Operator theory (47-XX)
65 Relativity and gravitational theory (83-XX)
64 Ordinary differential equations (34-XX)
56 Biology and other natural sciences (92-XX)
54 Real functions (26-XX)
53 Functional analysis (46-XX)
51 Quantum theory (81-XX)
51 Statistical mechanics, structure of matter (82-XX)
50 Systems theory; control (93-XX)
46 Geometry (51-XX)
41 Several complex variables and analytic spaces (32-XX)
40 Approximations and expansions (41-XX)
38 Potential theory (31-XX)
37 Algebraic geometry (14-XX)
34 Functions of a complex variable (30-XX)
30 Information and communication theory, circuits (94-XX)
28 Topological groups, Lie groups (22-XX)
24 Optics, electromagnetic theory (78-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
23 General topology (54-XX)
21 Combinatorics (05-XX)
21 Algebraic topology (55-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Group theory and generalizations (20-XX)
14 General and overarching topics; collections (00-XX)
14 Number theory (11-XX)
12 Measure and integration (28-XX)
9 Nonassociative rings and algebras (17-XX)
8 Special functions (33-XX)
8 Classical thermodynamics, heat transfer (80-XX)
5 History and biography (01-XX)
5 Difference and functional equations (39-XX)
5 Abstract harmonic analysis (43-XX)
5 Astronomy and astrophysics (85-XX)
5 Geophysics (86-XX)
5 Mathematics education (97-XX)
4 Category theory; homological algebra (18-XX)
4 Integral transforms, operational calculus (44-XX)
4 Integral equations (45-XX)
2 Associative rings and algebras (16-XX)
2 \(K\)-theory (19-XX)
2 Sequences, series, summability (40-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)

Citations by Year

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