Morse functions and submanifolds of hyperbolic space (Q794299)
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scientific article; zbMATH DE number 3859934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Morse functions and submanifolds of hyperbolic space |
scientific article; zbMATH DE number 3859934 |
Statements
Morse functions and submanifolds of hyperbolic space (English)
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1984
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In the terminology of \textit{T. E. Cecil} and \textit{P. J. Ryan} [Math. Ann. 236, 177-190 (1978; Zbl 0379.53002)] the main result of this paper can be formulated as follows: A cyclide of Dupin in hyperbolic space \(H^{2m+1}\) having two principal curvatures of equal multiplicity and constant mean curvature, is a tube around an m-dimensional totally geodesic subspace.
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Morse function
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cyclide of Dupin
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principal curvatures
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constant mean curvature
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totally geodesic
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