New examples of Willmore submanifolds in the unit sphere via isoparametric functions,II
Differential Geometry
2012-05-11 v2
Abstract
This paper is a continuation of a paper with the same title of the last two authors. In the first part of the present paper, we give a unified geometric proof that both focal submanifolds of every isoparametric hypersurface in spheres with four distinct principal curvatures are Willmore. In the second part, we completely determine which focal submanifolds are Einstein except one case.
Keywords
Cite
@article{arxiv.1204.2917,
title = {New examples of Willmore submanifolds in the unit sphere via isoparametric functions,II},
author = {Chao Qian and Zizhou Tang and Wenjiao Yan},
journal= {arXiv preprint arXiv:1204.2917},
year = {2012}
}
Comments
19 pages,to appear in Annals of Global Analysis and Geometry