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
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DOI：
10.1007/s10455-012-9332-2
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发表时间：
2012-04
影响因子：
0.7
通讯作者：
Chao Qian;Zizhou Tang;Wenjiao Yan
中科院分区：
文献类型：
--
作者：
Chao Qian;Zizhou Tang;Wenjiao Yan
本文是(ANN)的延续和广泛推广。格罗布。肛门。地球，DOI：10.1007/s10455.0129319-z，2012年)。在本文的第一部分，我们给出了具有四个不同主曲率的球面上每个等参超曲面的焦点子流形都是Willmore的统一几何证明。在第二部分中，我们完全确定了除了一种情况外，哪些焦点子流形是爱因斯坦。
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.