Manfredo do Carmo

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All published works

Action	Title	Year	Authors
+	Complete hypersurfaces in Euclidean spaces with finite strong total curvature	2019	Manfredo do Carmo Maria Fernanda Elbert
+	Complete hypersurfaces in Euclidean spaces with strong finite total curvature	2015	Manfredo do Carmo Maria Fernanda Elbert
+ PDF Chat	Globally subanalytic CMC surfaces in $\mathbb{R}^3$	2014	Alexandre Fernandes Manfredo do Carmo Lev Birbrair J. Lucas M. Barbosa
+ PDF Chat	Surfaces of $$M_k^2\times \mathbb R $$ invariant under a one-parameter group of isometries	2012	Hilário Alencar Manfredo do Carmo Renato Tribuzy
+	Complete Hypersurfaces with Constant Mean Curvature and Finite Total Curvature	2012	Pierre Bérard Manfredo do Carmo Walcy Santos
+	A Hopf Theorem for Ambient Spaces of Dimensions Higher than Three	2012	Hilário Alencar Manfredo do Carmo Renato Tribuzy
+	Stable Complete Minimal Surfaces in R 3 are Planes	2012	Manfredo do Carmo Cheng Peng
+	Ricci curvature and the topology of open manifolds	2012	Manfredo do Carmo Changyu Xia
+	Stability of Hypersurfaces of Constant Mean Curvature in Riemannian Manifolds	2012	J. Lucas M. Barbosa Manfredo do Carmo J.-H. Eschenburg
+	Hypersurfaces With Constant Mean Curvature in Spheres	2012	Hilário Alencar Manfredo do Carmo
+	Stability of Hypersurfaces with Constant Mean Curvature	2012	J. Lucas M. Barbosa Manfredo do Carmo
+	Spherical Images of Convex Surfaces	2012	Manfredo do Carmo Benjamin Lawson
+	Rotation Hypersurfaces in Spaces of Constant Curvature	2012	Manfredo do Carmo Marcos Dajczer
+	On the Size of a Stable Minimal Surface in R 3	2012	J. Lucas M. Barbosa Manfredo do Carmo
+	Stable Hypersurfaces with Constant Scalar Curvature	2012	Hilário Alencar Manfredo do Carmo A. Gervásio Colares
+	Stability of Minimal Surfaces and Eigenvalues of the Laplacian	2012	J. Lucas M. Barbosa Manfredo do Carmo
+	Compact Conformally Flat Hypersurfaces	2012	Manfredo do Carmo Marcos Dajczer Francesco Mercuri
+	A theorem of Hopf and the Cauchy-Riemann inequality	2012	Hilário Alencar Manfredo do Carmo Renato Tribuzy
+	A Proof of a General Isoperimetric Inequality for Surfaces	2012	J. Lucas M. Barbosa Manfredo do Carmo
+	Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length	2012	Shiing-Shen Chern Manfredo do Carmo Shimpei Kobayashi
+	A Hopf theorem for open surfaces in product spaces	2012	Manfredo do Carmo Isabel Fernández
+	Stability of hypersurfaces with vanishing r-mean curvature in euclidean space	2012	Hilário Alencar Manfredo do Carmo Maria Fernanda Elbert
+	Compact minimal hypersurfaces with index one in the real projective space	2012	Manfredo do Carmo Manuel Ritoré Antonio R�os
+	Conformal Rigidity	2012	Manfredo do Carmo Marcos Dajczer
+ PDF Chat	A Hopf theorem for ambient spaces of dimensions higher than three	2010	Hilário Alencar Manfredo do Carmo Renato Tribuzy
+ PDF Chat	A Hopf theorem for open surfaces in product spaces	2009	Manfredo do Carmo Isabel Fernández
+ PDF Chat	A theorem of H. Hopf and the Cauchy-Riemann inequality II	2007	Hilário Alencar Manfredo do Carmo Isabel Fernández Renato Tribuzy
+ PDF Chat	A theorem of Hopf and the Cauchy-Riemann inequality	2007	Hilário Alencar Manfredo do Carmo Renato Tribuzy
+ PDF Chat	Erratum to “A gap theorem for hypersurfaces with constant scalar curvature one”	2006	Hilário Alencar Walcy Santos Manfredo do Carmo
+ PDF Chat	Cones in the Euclidean space with vanishing scalar curvature	2004	J. Lucas M. Barbosa Manfredo do Carmo
+ PDF Chat	On stable complete hypersurfaces with vanishing {$r$}-mean curvature	2004	Maria Fernanda Elbert Manfredo do Carmo
+	Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces	2003	Hilário Alencar Manfredo do Carmo Maria Fernanda Elbert
+ PDF Chat	A gap theorem for hypersurfaces of the sphere with constant scalar curvature one	2002	Hilário Alencar Walcy Santos Manfredo do Carmo
+	Rigidity Theorems for Manifolds with Boundary and Nonnegative Ricci Curvature	2001	Manfredo do Carmo Changyu Xia
+ PDF Chat	Upper bounds for the first eigenvalue of the operator $L\sb r$ and some applications	2001	Hilário Alencar Fernando C. Marques Manfredo do Carmo
+ PDF Chat	Compact minimal hypersurfaces with index one in the real projective space	2000	Manfredo do Carmo Manuel Ritoré Antonio R�os
+	Ricci curvature and the topology of open manifolds	2000	Manfredo do Carmo Changyu Xia
+	Topological structure of complete hypersurfaces in Rn+1 with Hr=0 and finite total curvature	1999	Manfredo do Carmo Maria Fernanda Elbert
+	Research on differential geometry in Brazil	1999	Manfredo do Carmo
+ PDF Chat	Eigenvalue estimate on complete noncompact Riemannian manifolds and applications	1999	Manfredo do Carmo Detang Zhou
+	Stable minimal hypersurfaces in Euclidean spaces	1998	Hilário Alencar Manfredo do Carmo Maria Fernanda Elbert
+	The index of constant mean curvature surfaces in hyperbolic 3-space	1997	Pierre Bérard Manfredo do Carmo Walcy Santos
+	Remarks on the growth of functions and the weak stability of hypersurfaces with constant mean curvature	1997	Hilário Alencar Manfredo do Carmo
+ PDF Chat	Erratum to “Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth”	1995	Hilário Alencar Manfredo do Carmo
+ PDF Chat	Hypersurfaces with Constant Mean Curvature in Spheres	1994	Hilário Alencar Manfredo do Carmo
+ PDF Chat	Hypersurfaces with constant mean curvature in spheres	1994	Hilário Alencar Manfredo do Carmo
+	On the first eigenvalue of the linearized operator of ther-th mean curvature of a hypersurface	1993	Hilário Alencar Manfredo do Carmo Harold Rosenberg
+	Local isometric immersions of R2 into R4.	1993	Manfredo do Carmo Marcos Dajczer
+	Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth	1993	Hilário Alencar Manfredo do Carmo
+	Stable hypersurfaces with constant scalar curvature	1993	Hilário Alencar Manfredo do Carmo A. Gervásio Colares
+	A theorem of Reilly for the linearized operator of rth mean curvature and applications to stability	1993	Hilário Alencar Manfredo do Carmo Harold Rosenberg
+	The index of constant mean curvature surfaces in hyperbolic 3-space	1993	Manfredo do Carmo
+	Riemannian geometry	1992	Manfredo do Carmo
+	Index of surfaces of constant mean curvature in hyperbolic space	1991	Manfredo do Carmo
+	Stability of hypersurfaces of constant mean curvature in Riemannian manifolds	1988	J. Lucas M. Barbosa Manfredo do Carmo J.-H. Eschenburg
+	A rigidity theorem for higher codimensions	1986	Manfredo do Carmo Marcos Dajczer
+	Compact Conformally Flat Hypersurfaces	1985	Manfredo do Carmo Marcos Dajczer Francesco Mercuri
+ PDF Chat	Compact conformally flat hypersurfaces	1985	Manfredo do Carmo Marcos Dajczer Francesco Mercuri
+	Stability of hypersurfaces with constant mean curvature	1984	J. Lucas M. Barbosa Manfredo do Carmo
+	Rotation Hypersurfaces in Spaces of Constant Curvature	1983	Manfredo do Carmo M. Dajczer
+ PDF Chat	Rotation hypersurfaces in spaces of constant curvature	1983	Manfredo do Carmo Marcos Dajczer
+ PDF Chat	Riemannian metrics induced by two immersions	1982	Manfredo do Carmo Marcos Dajczer
+	Stability of minimal surfaces in a 3-dimensional hyperbolic space	1981	J. Lucas M. Barbosa Manfredo do Carmo
+	Helicoids, catenoids, and minimal hypersurfaces of r (n) invariant by an l-parameter group of motions	1981	J. Lucas M. Barbosa Manfredo do Carmo
+ PDF Chat	Globally stable complete minimal surfaces in 𝑅³	1980	Manfredo do Carmo Arline Silveira
+	Shorter Notes: Globally Stable Complete Minimal Surfaces in R 3	1980	Manfredo do Carmo Alexandre M. da Silveira
+	Stability of minimal surfaces and eigenvalues of the laplacian	1980	J. Lucas M. Barbosa Manfredo do Carmo
+ PDF Chat	Stable complete minimal surfaces in 𝑅³ are planes	1979	Manfredo do Carmo Cheng Peng
+	A proof of a general isoperimetric inequality for surfaces	1978	Jo�o Lucas Barbosa Manfredo do Carmo
+	On the Size of a Stable Minimal Surface in R 3	1976	J. Lucas M. Barbosa Manfredo do Carmo
+ PDF Chat	Stable minimal surfaces	1974	J. Lucas M. Barbosa Manfredo do Carmo
+	Shorter Notes: Spherical Images of Convex Surfaces	1972	Manfredo do Carmo Benjamin Lawson
+	Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length	1970	Shiing-Shen Chern Manfredo do Carmo Shimpei Kobayashi
+	Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length	1970	Shiing-Shen Chern Manfredo do Carmo Shimpei Kobayashi

Common Coauthors

Coauthor	Papers Together
Hilário Alencar	22
J. Lucas M. Barbosa	14
Marcos Dajczer	9
Maria Fernanda Elbert	7
Renato Tribuzy	6
Walcy Santos	4
Changyu Xia	3
Isabel Fernández	3
Shimpei Kobayashi	3
Shiing-Shen Chern	3
Manuel Ritoré	2
Antonio Ros	2
Cheng Peng	2
Francesco Mercuri	2
Harold Rosenberg	2
A. Gervásio Colares	2
Benjamin Lawson	2
Pierre Bérard	2
J.-H. Eschenburg	2
Jo�o Lucas Barbosa	1
Alexandre M. da Silveira	1
Fernando C. Marques	1
Walcy Santos	1
Detang Zhou	1
Lev Birbrair	1
Francesco Mercuri	1
M. Dajczer	1
Alexandre Fernandes	1
Arline Silveira	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Minimal Varieties in Riemannian Manifolds	1968	James Simons	18
+	The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature	1980	D. Fischer-Colbrie Richard Schoen	10
+ PDF Chat	Variational properties of functions of the mean curvatures for hypersurfaces in space forms	1973	Robert C. Reilly	9
+	On the Size of a Stable Minimal Surface in R 3	1976	J. Lucas M. Barbosa Manfredo do Carmo	8
+	Stable hypersurfaces with constant scalar curvature	1993	Hilário Alencar Manfredo do Carmo A. Gervásio Colares	7
+	Stability of hypersurfaces of constant mean curvature in Riemannian manifolds	1988	J. Lucas M. Barbosa Manfredo do Carmo J.-H. Eschenburg	7
+	Local Rigidity Theorems for Minimal Hypersurfaces	1969	H. Blaine Lawson	7
+	Stability of Hypersurfaces of Constant Mean Curvature in Riemannian Manifolds	2012	J. Lucas M. Barbosa Manfredo do Carmo J.-H. Eschenburg	7
+	Stability of Hypersurfaces with Constant Mean Curvature	2012	J. Lucas M. Barbosa Manfredo do Carmo	6
+	Hypersurfaces with constant scalar curvature	1977	Shiu‐Yuen Cheng Shing‐Tung Yau	6
+	Stability of hypersurfaces with constant mean curvature	1984	J. Lucas M. Barbosa Manfredo do Carmo	6
+	Differential Geometry in the Large	1983	Heinz Hopf	6
+	On complete minimal surfaces with finite Morse index in three manifolds	1985	D. Fischer-Colbrie	6
+ PDF Chat	Extrinsic upper bounds for ?1	1988	Ernst Heintze	5
+	On the Size of a Stable Minimal Surface in R 3	2012	J. Lucas M. Barbosa Manfredo do Carmo	5
+ PDF Chat	Homogeneity and some curvature conditions for hypersurfaces	1969	Patrick J. Ryan	5
+	Stability of complete noncompact surfaces with constant mean curvature	1987	Alexandre M. da Silveira	5
+ PDF Chat	A Hopf differential for constant mean curvature surfaces in S2×R and H2×R	2004	Uwe Abresch Harold Rosenberg	5
+	Stable Complete Minimal Surfaces in R 3 are Planes	2012	Manfredo do Carmo Cheng Peng	5
+	Lectures on minimal submanifolds	1980	H. Blaine Lawson	5
+ PDF Chat	Stable complete minimal surfaces in 𝑅³ are planes	1979	Manfredo do Carmo Cheng Peng	5
+	On subharmonic functions and differential geometry in the large	1958	Alfréd Huber	4
+ PDF Chat	A theorem of Hopf and the Cauchy-Riemann inequality	2007	Hilário Alencar Manfredo do Carmo Renato Tribuzy	4
+ PDF Chat	A generalization of Courant's nodal domain theorem.	1957	Jaak Peetre	4
+	On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space	1977	Robert C. Reilly	4
+ PDF Chat	Conformally flat hypersurfaces in a conformally flat Riemannian manifold	1974	Seiki Nishikawa Yoshiaki Maeda	4
+	New Examples of Constant Mean Curvature Immersions of (2k - 1)-Spheres into Euclidean 2k-Space	1983	Wu-Yi Hsiang Zhen-huan Teng Wen-ci Yu	4
+	Complete minimal surfaces with index one and stable constant mean curvature surfaces	1989	Francisco J. López Antonio R�os	3
+	Remarks on the stability of minimal submanifolds of IR n	1975	Joel Spruck	3
+ PDF Chat	Le Spectre d’une Variété Riemannienne	1971	Marcel Berger Paul Gauduchon Edmond Mazet	3
+	MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE	1984	Chiakuei Peng Chuu-Lian Terng	3
+	Differential Geometry in the Large	1989	Heinz Hopf	3
+	Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature	1990	Sebastião C. de Almeida Fabiano Brito	3
+	Global Properties of Minimal Surfaces in E 3 and E n	1964	Robert Osserman	3
+ PDF Chat	Some integral formulas for closed hypersurfaces	1954	Chuan-Chih Hsiung	3
+	Sufficient conditions for constant mean curvature surfaces to be round	2002	Jaigyoung Choe	3
+ PDF Chat	Counterexample to a conjecture of H. Hopf	1986	Henry C. Wente	3
+	Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length	2012	Shiing-Shen Chern Manfredo do Carmo Shimpei Kobayashi	3
+	On the first eigenvalue of the linearized operator of ther-th mean curvature of a hypersurface	1993	Hilário Alencar Manfredo do Carmo Harold Rosenberg	3
+	The maximum principle for hypersurfaces with vanishing curvature functions	1995	Jorge Hounie Maria Luiza Leite	3
+	A theorem of Hopf and the Cauchy-Riemann inequality	2012	Hilário Alencar Manfredo do Carmo Renato Tribuzy	3
+ PDF Chat	A formula of Simons' type and hypersurfaces with constant mean curvature	1969	Katsumi Nomizu Brian Smyth	3
+	Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor	1974	Masafumi Okumura	3
+	Submanifolds of constant positive curvature I	1977	John Douglas Moore	3
+	On stable surfaces of constant gauss curvature in space forms	1995	Martin Traizet	3
+ PDF Chat	Le Spectre D'une Variété Riemannienne	1971	Marcel Berger Paul Gauduchon Edmond Mazet	3
+ PDF Chat	La déformation des hypersurfaces dans l'espace conforme réel à $n \ge 5$ dimensions	1917	Élie Cartan	3
+	Minimal submanifolds in a Riemannian manifold	1968	Shiing-Shen Chern	3
+	Stable constant mean curvature tori and the isoperimetric problem in three space forms	1992	Manuel Ritoré Antonio R�os	3
+ PDF Chat	Two-ended hypersurfaces with zero scalar curvature	1999	Jorge Hounie Maria Luiza Leite	3