ISOPARAMETRIC HYPERSURFACES IN CP~n WITH CONSTANT PRINCIPAL CURVATURES

被引：1

作者：

黎镇琦 ^{[1
]}

机构：

[1] Department of Mathematics Jiangxi University Nanchang Jiangxi China.

来源：

Chinese Annals of Mathematics | 1988年 / 04期

关键词：

Th; ISOPARAMETRIC HYPERSURFACES IN CP~n WITH CONSTANT PRINCIPAL CURVATURES; CP;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper proves that the number of distinct principal curvatures of a realisoparametric hypersurface in CP~n with constant principal curvatures can be only 2, 3 or 5.The prehnage of such hypersurface under the Hopf fibration is an isoparametrichypersarface in Swith 2 or 4 distinct principal curvatures. For real isoparametrichypersurfaces in CP~n with 5 distinct constant principal curvatures a local structuretheorem is given.

引用

页码：485 / 493

页数：9

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