Delaunay hypersurfaces in spheres

Abstract

We study Delaunay hypersurfaces in ${\mathbb{S}}^n$ with $n\ge 3$ and add a missing (flower) type of the category. Moreover, embedded Delaunay hypersurfaces of nonzero constant mean curvatures in ${\mathbb{S}}^n$ are found.

arXiv commentImproved version with more contents and updated figures, 17 pages