Affine hyperspheres with constant affine sectional curvature (Q2735659)
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scientific article; zbMATH DE number 1641134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affine hyperspheres with constant affine sectional curvature |
scientific article; zbMATH DE number 1641134 |
Statements
4 November 2002
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affine sphere
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constant sectional
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curvature
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Affine hyperspheres with constant affine sectional curvature (English)
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The theorems proved in this paper belong to the series of classification results for affine hyperspheres. The class of affine hyperspheres is very large and only classifications under special conditions can be expected. The authors describe locally the 3-dimensional affine hyperspheres with constant affine sectional curvature relative to the affine metric, which is assumed to be Lorentzian and with vanishing Pick invariant. Together with the former work of F. Dillen, M. Kriele, A. M. Li, M. Magiol, P. Ryan, U. Simon and L. Vrancken it gives a classification of 3-dimensional hyperspheres with constant sectional curvature.NEWLINENEWLINEFor the entire collection see [Zbl 0954.00038].
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