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Willmore Submanifolds in the Unit Sphere via Isoparametric Functions 被引量:1

Willmore Submanifolds in the Unit Sphere via Isoparametric Functions
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摘要 In this paper,we show that both focal submanifolds of each isoparametric hypersurface in the sphere with six distinct principal curvatures are Willmore,hence all focal submanifolds of isoparametric hypersurfaces in the sphere are Willmore. In this paper,we show that both focal submanifolds of each isoparametric hypersurface in the sphere with six distinct principal curvatures are Willmore,hence all focal submanifolds of isoparametric hypersurfaces in the sphere are Willmore.
作者 Yu Quan XIE
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第12期1963-1969,共7页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China(Grant Nos.11401151,11326071)
关键词 Willmore submanifold isoparametric hypersurface focal submanifold Willmore submanifold isoparametric hypersurface focal submanifold
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