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^*

^*此作品的通讯作者

Beijing Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

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.

源语言	英语
页（从-至）	47-62
页数	16
期刊	Annals of Global Analysis and Geometry
卷	43
期	1
DOI	https://doi.org/10.1007/s10455-012-9332-2
出版状态	已出版 - 1月 2013
已对外发布	是

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Qian, C., Tang, Z., & Yan, W. (2013). New examples of Willmore submanifolds in the unit sphere via isoparametric functions, II. Annals of Global Analysis and Geometry, 43(1), 47-62. https://doi.org/10.1007/s10455-012-9332-2

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N2 - 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.

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

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