Compact homogeneous hypersurfaces in hyperbolic space (Q1413423)
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scientific article; zbMATH DE number 2004105
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact homogeneous hypersurfaces in hyperbolic space |
scientific article; zbMATH DE number 2004105 |
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Compact homogeneous hypersurfaces in hyperbolic space (English)
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16 November 2003
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The authors prove the following result. Theorem: If an \(n\)-dim compact Riemannian homogeneous manifold \(M\) is isometrically immersed in the \((n+1)\)-dim hyperbolic space \(H^{n+1}\), then \(M\) is isometric to a sphere.
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homogeneous space
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hyperbolic space
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