A radius sphere theorem.
Karsten Grove, Peter Petersen (1993)
Inventiones mathematicae
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Displaying similar documents to “Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem.”
A radius sphere theorem.
A new version of differentiable sphere theorem.
K. Shiohama, Y. Otsu, T. Yamaguchi (1989)
Inventiones mathematicae
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The Curvature of SU(5)/(SP(2)XS1).
E. Heintze (1971)
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A splitting theorem for spaces of nonpositive curvature.
Viktor Schroeder (1985)
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On the construction of constant mean curvature imbeddings of exotic and/or knotted spheres into Sn (1).
W.-t. Hsiang, W.-y. Hsiang (1985)
Inventiones mathematicae
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Embedding and surrounding with positive mean curvature.
H.B., Jr Lawson, M.-L. Michelsohn (1984)
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Busemann Functions and Total Curvature.
Katsuhiro Shiohama (1979)
Inventiones mathematicae
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Approximation by positive mean curvature immersions: frizzing.
H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones mathematicae
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Manifolds with wells of negative curvature (with an Appendix by Daniel Ruberman).
K.D. Elworthy, Steven Rosenberg (1991)
Inventiones mathematicae
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Existence of flats in manifolds of nonpositive curvature.
V. Schroeder, M.T. Anderson (1986)
Inventiones mathematicae
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Counterexample to the convexity of level sets of solutions to the mean curvature equation
Xu-Jia Wang (2014)
Journal of the European Mathematical Society
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The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.