Isometric embedding of a compact Riemannian manifold into sphere (Q788299)
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scientific article; zbMATH DE number 3842667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isometric embedding of a compact Riemannian manifold into sphere |
scientific article; zbMATH DE number 3842667 |
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Isometric embedding of a compact Riemannian manifold into sphere (English)
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1983
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The author proves a counterpart of Kitagawa's result which is mentioned in the preceding review: A compact n-dimensional Riemannian manifold M with sectional curvatures \(<frac{1}{2}\cos^ 2r\) does not admit an isometric immersion into a geodesic ball with radius r of a unit sphere \(S^{n+p}\), \(1\leq p<n\).
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curvature bounds
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sectional curvatures
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geodesic ball
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0.9408283
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0.9394191
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0.9252128
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