On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues
On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues作者机构：Department of Mathematics Zhengzhou University Zhengzhou 450052 China Department of Mathematics Henan Normal University Xinxiang 453007 China
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2011年第54卷第10期
页 面：2171-2194页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported by National Natural Science Foundation of China (Grant Nos. 10671181 11071225)
主 题：Blaschke isoparametric hypersurface Mobius metric MSbius form Blaschke tensor MSbius second fundamental form
摘 要：An immersed umbilic-free submanifold in the unit sphere is called Blaschke isoparametric if its Mobius form vanishes identically and all of its Blaschke eigenvalues are constant. In this paper, we give a complete classification for all Blaschke isoparametric hypersurfaces with three distinct Blaschke eigenvalues.
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