Dupin Hypersurfaces with Four Principal Curvatures

被引：0
|
作者：
Thomas E. Cecil
Gary R. Jensen
机构：
[1] College of the Holy Cross,Department of Mathematics
[2] Washington University,Department of Mathematics
来源：
Geometriae Dedicata | 2000年 / 79卷
关键词：
Lie sphere geometry; Lie curvature; isoparametric hypersurface; Legendre submanifold; curvature sphere; Dupin hypersurface; Dupin submanifold.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using the method of moving frames, we prove that any irreducible Dupin hypersurface in S5 with four distinct principal curvatures and constant Lie curvature is equivalent by Lie sphere transformation to an isoparametric hypersurface in S5.
引用
收藏
页码：1 / 49
页数：48
相关论文
共 50 条
12345