Generalized rotational hypersurfaces of constant mean curvature in the Euclidean spaces. II (Q1104567)
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scientific article; zbMATH DE number 4056485
| Language | Label | Description | Also known as |
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| English | Generalized rotational hypersurfaces of constant mean curvature in the Euclidean spaces. II |
scientific article; zbMATH DE number 4056485 |
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Generalized rotational hypersurfaces of constant mean curvature in the Euclidean spaces. II (English)
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1987
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[For part I, cf. J. Differ. Geom. 17, 337-356 (1982; Zbl 0493.53043).] Theorem: For each non-trivial isoparametric rank 2 foliation of \(E^{n+2}\) there exist infinitely many non-congruent immersions of \(S^{n+1}\) with constant mean curvature 1, which are compatible with the foliation. The proof uses reduction to an ordinary differential equation problem in an ``orbit space''.
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isoparametric rank 2 foliation
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constant mean curvature
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