On product affine hyperspheres in \(\mathbb{R}^{n+1}\) (Q828635)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On product affine hyperspheres in \(\mathbb{R}^{n+1}\) |
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On product affine hyperspheres in \(\mathbb{R}^{n+1}\) (English)
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5 May 2021
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A complete classification of locally strongly convex affine hyperspheres which is locally isometric to a Riemannian product \(M^{n_1}_1(c_1)\times M^{n_2}_2(c_2)\) or \(I\times M^{n-1}(c)\) is given. As a direct consequences, 3- and 4-dimensional affine hyperspheres with parallel Ricci tensor are also classified.
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affine hypersurface
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affine metric
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affine hypersphere
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Levi-Civita connection
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constant sectional curvature
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parallel Ricci tensor
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