Hsiang, Wu-Yi; Huynh, Hsueh-Ling Generalized rotational hypersurfaces of constant mean curvature in the Euclidean spaces. II. (English) Zbl 0647.53042 Pac. J. Math. 130, No. 1, 75-95 (1987). [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 Cited in 4 Documents MSC: 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) Keywords:isoparametric rank 2 foliation; constant mean curvature Citations:Zbl 0493.53043 PDFBibTeX XMLCite \textit{W.-Y. Hsiang} and \textit{H.-L. Huynh}, Pac. J. Math. 130, No. 1, 75--95 (1987; Zbl 0647.53042) Full Text: DOI