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

被引：0
|
作者：
Chao Qian
Zizhou Tang
Wenjiao Yan
机构：
[1] Beijing Normal University,School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems
来源：
Annals of Global Analysis and Geometry | 2013年 / 43卷
关键词：
Willmore submanifold; Isoparametric functions; Focal submanifolds; 53A30; 53C42;
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学科分类号：
摘要：
This paper is a continuation and wide extension of (Ann. Glob. Anal. Geom., doi:10.1007/s10455-012-9319-z, 2012). 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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页码：47 / 62
页数：15
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