Finiteness results for equifocal hypersurfaces in compact symmetric spaces

被引：0

作者：

GE JianQuan ^{[1
]}

QIAN Chao ^{[2
]}

机构：

[1] School of Mathematical Sciences,Laboratory of Mathematics and Complex Systems,Beijing Normal University

[2] School of Mathematical Sciences,University of Chinese Academy of Sciences

来源：

Science China Mathematics | 2014年 / 57卷 / 09期

基金：

中国国家自然科学基金;

关键词：

equifocal hypersurface; isoparametric hypersurface; focal point; finiteness;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space.Moreover,if the symmetric space is of rank one,the result can be strengthened by dropping the condition curvature-adapted.

引用

页码：1975 / 1982

页数：8

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