Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space

被引：12

作者：

Nie ChangXiong ^{[1
,2
]}

Li TongZhu ^{[3
]}

He YiJun ^{[4
]}

Wu ChuanXi ^{[5
]}

机构：

[1] Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[3] Beijing Inst Technol, Fac Sci, Beijing 100081, Peoples R China

[4] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

[5] Hubei Univ, Inst Math, Wuhan 430062, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 04期

关键词：

Lorentz conformal geometry; conformal invariants; conformal isoparametric hypersurfaces;

D O I：

10.1007/s11425-009-0206-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The conformal geometry of regular hypersurfaces in the conformal space is studied. We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.

引用

页码：953 / 965

页数：13

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