On a characterization of geodesic spheres (Q1585208)
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scientific article; zbMATH DE number 1526325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a characterization of geodesic spheres |
scientific article; zbMATH DE number 1526325 |
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On a characterization of geodesic spheres (English)
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23 October 2002
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A theorem, due to Hasegawa and Abe, asserts that any Euclidean compact convex connected hypersurface whose scalar curvature is bounded from above by a certain function is a geodesic sphere. Two different proofs are given: one using the Weitzenböck-Bochner formula the other using the Minkowski integral formulae. Actually, this last method provides a natural extension to the above theorem.
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Weitzenböck-Bochner formula
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Minkowski integral formulae
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mean curvature
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hypersurface
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