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

Chao Qian; Zizhou Tang; Wenjiao Yan

doi:10.1007/s10455-012-9332-2

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

Chao Qian, Zizhou Tang, Wenjiao Yan^*

^*Corresponding author for this work

Beijing Normal University

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	47-62
Number of pages	16
Journal	Annals of Global Analysis and Geometry
Volume	43
Issue number	1
DOIs	https://doi.org/10.1007/s10455-012-9332-2
Publication status	Published - Jan 2013
Externally published	Yes

Keywords

Focal submanifolds
Isoparametric functions
Willmore submanifold

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10.1007/s10455-012-9332-2

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

Abstract

Keywords

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