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Generalized rotational hypersurfaces of constant mean curvature in the Euclidean spaces. II. (English) Zbl 0647.53042

[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”.
Reviewer: D.Ferus

MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)

Citations:

Zbl 0493.53043
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