A finiteness theorem for isoparametric hypersurfaces (Q1336197)
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scientific article; zbMATH DE number 663724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A finiteness theorem for isoparametric hypersurfaces |
scientific article; zbMATH DE number 663724 |
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A finiteness theorem for isoparametric hypersurfaces (English)
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17 October 1995
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It is proved that there are only finitely many diffeomorphism types of compact, isoparametric hypersurfaces in \(S^{n + 1}\) with four distinct principal curvatures. The proof depends on Cheeger's finiteness theorem [see \textit{J. Cheeger}, Am. J. Math. 92, 61-74 (1970; Zbl 0194.529)].
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isoparametric hypersurfaces
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principal curvatures
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Cheeger's finiteness theorem
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