×

do Carmo, Manfredo Perdigão

Compute Distance To:
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: 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

Publications by Year

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 0326.53001
do Carmo, Manfredo Perdigão
706
1976
Riemannian geometry. Translated from the Portuguese by Francis Flaherty. Zbl 0752.53001
do Carmo, Manfredo Perdigão
296
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.
223
1970
Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Zbl 0653.53045
Barbosa, J. Lucas; do Carmo, Manfredo P.; Eschenburg, Jost-Hinrich
146
1988
Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059
do Carmo, Manfredo Perdigão; Dajczer, Marco
109
1983
Stable complete minimal surfaces in \(R^3\) are planes. Zbl 0442.53013
do Carmo, Manfredo Perdigão; Peng, C. K.
102
1979
Stability of hypersurfaces with constant mean curvature. Zbl 0513.53002
Barbosa, Joan Lucas; do Carmo, Manfredo Perdigão
99
1984
Hypersurfaces with constant mean curvature in spheres. Zbl 0802.53017
Alencar, Hilário; do Carmo, Manfredo P.
74
1994
Minimal immersions of spheres into spheres. Zbl 0218.53069
do Carmo, Manfredo Perdigão; Wallach, N. R.
63
1971
Rigidity and convexity of hypersurfaces in spheres. Zbl 0201.23702
do Carmo, Manfredo Perdigão; Warner, F. W.
48
1970
On the size of a stable minimal surface im \(R^3\). Zbl 0332.53006
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
41
1976
Helicoidal surfaces with constant mean curvature. Zbl 0501.53003
do Carmo, Manfredo Perdigão; Dajczer, Marcos
38
1982
Stable hypersurfaces with constant scalar curvature. Zbl 0792.53057
Alencar, Hilário; do Carmo, Manfredo P.; Colares, A. G.
31
1993
Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001
do Carmo, Manfredo P.
30
1994
Complete manifolds with non-negative Ricci curvature and the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1066.53073
do 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 0816.53031
Alencar, Hilário; do Carmo, Manfredo P.; Rosenberg, Harold
23
1993
Stability of minimal surfaces and eigenvalues of the Laplacian. Zbl 0417.53033
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
22
1980
On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049
do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun.
20
1983
Compact conformally flat hypersurfaces. Zbl 0537.53050
do Carmo, Manfredo P.; Dajczer, Marcos; Mercuri, Francesco
19
1985
Stability of hypersurfaces with vanishing \(r\)-mean curvatures in Euclidean spaces. Zbl 1093.53063
Alencar, Hilário; do Carmo, Manfredo; Elbert, Maria Fernanda
18
2003
Complete hypersurfaces with constant mean curvature and finite total curvature. Zbl 0921.53027
Bérard, Pierre; do Carmo, Manfredo; Santos, W.
17
1998
Conformal rigidity. Zbl 0631.53043
do Carmo, Manfredo P.; Dajczer, Marcos
16
1987
A Hopf theorem for ambient spaces of dimensions higher than three. Zbl 1197.53073
Alencar, 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 1352.53002
do Carmo, Manfredo Perdigão
15
2016
A proof of a general isoperimetric inequality for surfaces. Zbl 0369.53054
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
15
1978
Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200
Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu
14
2010
Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301
do Carmo, Manfredo Perdigão; Wallach, N. R.
14
1970
Eigenvalue estimate on complete noncompact Riemannian manifolds and applications. Zbl 0910.53039
do Carmo, Manfredo P.; Zhou, Detang
13
1999
Ricci curvature and the topology of open manifolds. Zbl 0958.53025
do Carmo, Manfredo; Xia, Changyu
12
2000
Isometric immersions with semi-definite second quadratic forms. Zbl 0177.50003
do Carmo, Manfredo Perdigão; Lima, E.
12
1969
A theorem of Hopf and the Cauchy-Riemann inequality. Zbl 1134.53031
Alencar, Hilario; Tribuzy, Renato; do Carmo, Manfredo
11
2007
Complete submanifolds with bounded mean curvature in a Hadamard manifold. Zbl 1198.53041
do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu
10
2010
Compact minimal hypersurfaces with index one in the real projective space. Zbl 0977.53059
do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio
9
2000
On the compactness of constant mean curvature hypersurfaces with finite total curvature. Zbl 0981.53048
do Carmo, Manfredo P.; Cheung, Leung-Fu; Santos, Walcy
9
1999
Local isometric immersions of \(\mathbb{R}^ 2\) into \(\mathbb{R}^ 4\). Zbl 0782.53018
do Carmo, Manfredo P.; Dajczer, Marcos
9
1993
Riemannian geometry. (Geometria riemanniana). Zbl 0505.53001
do Carmo, Manfredo Perdigão
9
1979
A gap theorem for hypersurfaces of the sphere with constant scalar curvature one. Zbl 1032.53045
Alencar, Hilário; do Carmo, Manfredo; Santos, Walcy
8
2002
Bernstein-type theorems in hypersurfaces with constant mean curvature. Zbl 0978.53016
do Carmo, Manfredo P.; Zhou, Detang
8
2000
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
The index of constant mean curvature surfaces in hyperbolic 3-space. Zbl 0868.53010
Bérard, Pierre; do Carmo, Manfredo P.; Santos, W.
8
1997
Immersions of manifolds with non-negative sectional curvatures. Zbl 0338.53041
do Carmo, Manfredo Perdigão; Lima, E.
8
1971
Index and total curvature of surfaces with constant mean curvature. Zbl 0722.53055
do Carmo, Manfredo P.; da Silveira, Alexandre M.
7
1990
On some fundamental equations of equivariant Riemannian geometry. Zbl 1205.53033
Back, 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 0614.53046
do Carmo, Manfredo P.; de Miranda Gomes, J.; Thorbergsson, G.
6
1986
Stable minimal surfaces. Zbl 0286.53004
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
6
1974
Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth. Zbl 0787.53055
Alencar, 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 0733.53001
do Carmo, Manfredo P.
5
1992
Riemannian geometry. 5th edition, 2nd printing. (Geometria Riemanniana.) Zbl 1412.53001
do Carmo, Manfredo Perdigão
5
2015
Necessary and sufficient conditions for existence of minimal hypersurfaces in spaces of constant curvature. Zbl 0604.53023
do Carmo, Manfredo P.; Dajczer, Marcos
5
1981
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
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.
4
2005
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
Stable complete minimal hypersurfaces. Zbl 0527.53035
do Carmo, Manfredo Perdigão; Peng, C. K.
4
1982
Stability of minimal surfaces in spaces of constant curvature. Zbl 0462.53033
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
4
1980
A Hopf theorem for open surfaces in product spaces. Zbl 1188.53072
do Carmo, Manfredo; Fernández, Isabel
4
2009
The cohomology ring of certain Kählerian manifolds. Zbl 0132.16703
do Carmo, Manfredo Perdigão
4
1965
A rigidity theorem for higher codimensions. Zbl 0579.53006
do 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 0822.53035
Alencar, Hilario; do Carmo, Manfredo P.; Rosenberg, Harold
3
1995
Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051
Alencar, Hilário; do Carmo, Manfredo P.
3
1994
Stability of minimal surfaces in a 3-dimensional hyperbolic space. Zbl 0469.53006
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
3
1981
On regular algebraic surfaces of \(\mathbb R^3\) with constant mean curvature. Zbl 1344.53009
Barbosa, J. Lucas M.; do Carmo, Manfredo P.
3
2016
Hypersurfaces of constant mean curvature. Zbl 0683.53052
do Carmo, Manfredo P.
2
1989
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
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
On minimal immersions with parallel normal curvature tensor. Zbl 0387.53022
Colares, A. G.; do Carmo, Manfredo Perdigão
2
1977
Positively-curved hypersurfaces of a Hilbert space. Zbl 0177.24603
do Carmo, Manfredo Perdigão
2
1968
Minimal immersions of sphere bundles over spheres. Zbl 0205.51901
do Carmo, Manfredo Perdigão; Wallach, N. R.
1
1970
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
Constant mean curvature in Riemannian manifolds: stability questions. Zbl 0637.53072
do Carmo, Manfredo P.
1
1987
Compact conformally flat hypersurfaces. Zbl 0518.53007
do Carmo, Manfredo Perdigão; Dajczer, Marco; Mercuri, F.
1
1983
Differential forms and applications (Formas diferenciais e aplicações). Zbl 0538.53001
do Carmo, Manfredo Perdigão
1
1983
Complete hypersurfaces in Euclidean spaces with finite strong total curvature. Zbl 1429.53011
do Carmo, Manfredo; Elbert, Maria Fernanda
1
2019
Erratum to “Bernstein-type theorems in hypersurfaces with constant mean curvature”. Zbl 0978.53500
do Carmo, Manfredo P.; Zhou, Detang
1
2001
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
Minimal immersions of spheres into spheres. Zbl 0183.26404
do Carmo, Manfredo Perdigão.; Wallach, N. R.
1
1969
Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). Zbl 1407.32002
Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A.
1
2014
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
15
2016
On regular algebraic surfaces of \(\mathbb R^3\) with constant mean curvature. Zbl 1344.53009
Barbosa, J. Lucas M.; do Carmo, Manfredo P.
3
2016
Riemannian geometry. 5th edition, 2nd printing. (Geometria Riemanniana.) Zbl 1412.53001
do Carmo, Manfredo Perdigão
5
2015
Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). Zbl 1407.32002
Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A.
1
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
16
2010
Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. Zbl 1200.35200
Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu
14
2010
Complete submanifolds with bounded mean curvature in a Hadamard manifold. Zbl 1198.53041
do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu
10
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
11
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.
4
2005
Complete manifolds with non-negative Ricci curvature and the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1066.53073
do Carmo, Manfredo Perdigão; Xia, Changyu
27
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
18
2003
A gap theorem for hypersurfaces of the sphere with constant scalar curvature one. Zbl 1032.53045
Alencar, Hilário; do Carmo, Manfredo; Santos, Walcy
8
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
Ricci curvature and the topology of open manifolds. Zbl 0958.53025
do Carmo, Manfredo; Xia, Changyu
12
2000
Compact minimal hypersurfaces with index one in the real projective space. Zbl 0977.53059
do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio
9
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
9
1999
Complete hypersurfaces with constant mean curvature and finite total curvature. Zbl 0921.53027
Bérard, Pierre; do Carmo, Manfredo; Santos, W.
17
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.
74
1994
Differential forms and applications. Transl. from the Portuguese. Zbl 0816.53001
do Carmo, Manfredo P.
30
1994
Hypersurfaces with constant mean curvature in space forms. Zbl 0810.53051
Alencar, Hilário; do Carmo, Manfredo P.
3
1994
Stable hypersurfaces with constant scalar curvature. Zbl 0792.53057
Alencar, 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 0816.53031
Alencar, Hilário; do Carmo, Manfredo P.; Rosenberg, Harold
23
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.
6
1993
Riemannian geometry. Translated from the Portuguese by Francis Flaherty. Zbl 0752.53001
do 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 0733.53001
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.
7
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
146
1988
Conformal rigidity. Zbl 0631.53043
do Carmo, Manfredo P.; Dajczer, Marcos
16
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
99
1984
Rotation hypersurfaces in spaces of constant curvature. Zbl 0518.53059
do Carmo, Manfredo Perdigão; Dajczer, Marco
109
1983
On Alexandrov-Bernstein theorems in hyperbolic space. Zbl 0534.53049
do Carmo, Manfredo Perdigão; Lawson, H. Blaine jun.
20
1983
Compact conformally flat hypersurfaces. Zbl 0518.53007
do Carmo, Manfredo Perdigão; Dajczer, Marco; Mercuri, F.
1
1983
Differential forms and applications (Formas diferenciais e aplicações). Zbl 0538.53001
do Carmo, Manfredo Perdigão
1
1983
Helicoidal surfaces with constant mean curvature. Zbl 0501.53003
do Carmo, Manfredo Perdigão; Dajczer, Marcos
38
1982
Riemannian metrics induced by two immersions. Zbl 0496.53009
do Carmo, Manfredo Perdigão; Dajczer, Marcos
4
1982
Stable complete minimal hypersurfaces. Zbl 0527.53035
do Carmo, Manfredo Perdigão; Peng, C. K.
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
5
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
22
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.
102
1979
Riemannian geometry. (Geometria riemanniana). Zbl 0505.53001
do Carmo, Manfredo Perdigão
9
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
706
1976
On the size of a stable minimal surface im \(R^3\). Zbl 0332.53006
Barbosa, Joao Lucas; do Carmo, Manfredo Perdigão
41
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
6
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.
63
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.
223
1970
Rigidity and convexity of hypersurfaces in spheres. Zbl 0201.23702
do Carmo, Manfredo Perdigão; Warner, F. W.
48
1970
Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301
do Carmo, Manfredo Perdigão; Wallach, N. R.
14
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
4
1965
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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.