New examples of Willmore submanifolds in the unit sphere via isoparametric functions,II

Details New examples of Willmore submanifolds in the unit sphere via isoparametric functions,II New examples of Willmore submanifolds in the unit sphere via isoparametric functions,II

2012-04-13

arxiv.org/abs/1204.2917v1

Mathematics

Differential Geometry

19 pages

Scientific paper

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.

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