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

共 11 条

[1] Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space
ChangXiong Nie
TongZhu Li
YiJun He
ChuanXi Wu
Science China Mathematics, 2010, 53 : 953 - 965
[2] Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space
NIE ChangXiong 1
2 School of Mathematical Sciences
3 Faculty of Sciences
4 School of Mathematical Sciences
5 Institute of Mathematics
ScienceChina(Mathematics), 2010, 53 (04) : 953 - 965
[3] CONFORMAL HOMOGENEOUS SPACELIKE HYPERSURFACES WITH TWO DISTINCT PRINCIPAL CURVATURES IN LORENTZIAN SPACE FORMS
Ji, Xiu
Li, Tongzhu
HOUSTON JOURNAL OF MATHEMATICS, 2020, 46 (04): : 935 - 951
[4] Blaschke isoparametric hypersurfaces in the conformal space ℚ1n+1, I
ChanG Xiong Nie
Acta Mathematica Sinica, English Series, 2015, 31 : 1751 - 1758
[5] Blaschke Isoparametric Hypersurfaces in the Conformal Space Q1n+1,Ⅰ
Chang Xiong NIE
Acta Mathematica Sinica,English Series, 2015, (11) : 1751 - 1758
[6] Blaschke Isoparametric Hypersurfaces in the Conformal Space Q1n+1, I
Nie, Chang Xiong
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (11) : 1751 - 1758
[7] On the classification of Jacobi curves and their conformal curvatures
Bautista, A.
Ibort, A.
Lafuente, J.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2025,
[8] Regular submanifolds in conformal space ℚpn
Changxiong Nie
Chuanxi Wu
Chinese Annals of Mathematics, Series B, 2012, 33 : 695 - 714
[9] Regular Submanifolds in Conformal Space Qpn
Changxiong NIE 1 Chuanxi WU 2 1 Faculty of Mathematics and Computer Sciences
Chinese Annals of Mathematics(Series B), 2012, 33 (05) : 695 - 714
[10] Regular submanifolds in conformal space a"e p n
Nie, Changxiong
Wu, Chuanxi
CHINESE ANNALS OF MATHEMATICS SERIES B, 2012, 33 (05) : 695 - 714

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