Blaschke Isoparametric Hypersurfaces in the Conformal Space Q1n+1,Ⅰ

被引：0

作者：

Chang Xiong NIE ^{[1
]}

机构：

[1] Faculty of Mathematics and Statistics, Hubei University

来源：

Acta Mathematica Sinica,English Series | 2015年 / 11期

关键词：

Regular hypersurfaces; conformal invariants; Blaschke isoparametric; Lorentzian space forms;

D O I：

暂无

中图分类号：

O186.11 [古典微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

Let x : M → Q1n+1 be a regular hypersurface in the conformal space Q1n+1. We classify all the space-like Blaschke isoparametric hypersurfaces with two distinct Blaschke eigenvalues in the conformal space up to the conformal equivalence.

引用

页码：1751 / 1758

页数：8

共 8 条

[1] RegularSubmanifoldsinConformalSpaceQp~n [J].

Changxiong NIE Chuanxi WU Faculty of Mathematics and Computer SciencesHubei UniversityWuhan China Institute of Mathematics SciencesHubei UniversityWuhan China .

Chinese Annals of Mathematics(Series B), 2012, 33 (05) :695-714

[2] 共形空间中具有平行的共形第二基本形式的Ⅰ型类时超曲面的分类 [J].

聂昌雄 ;

田大平 ;

吴传喜 .

数学学报, 2011, 54 (01) :125-136

[3]

Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space[J]. NIE ChangXiong 1,2,LI TongZhu 3,HE YiJun 4 & WU ChuanXi 5 1 Faculty of Mathematics and Computer Sciences,Hubei University,Wuhan 430062,China;2 School of Mathematical Sciences,Peking University,Beijing 100871,China;3 Faculty of Sciences,Beijing Institute of Technology,Beijing 100081,China;4 School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China;5 Institute of Mathematics,H

[4] 共形空间中平行的共形第二基本形式的类空超曲面 [J].

聂昌雄 ;

吴传喜 .

数学学报, 2008, (04) :685-692

[5]

Immersed Hypersurfaces in the Unit Sphere Sm+1 with Constant Blaschke Eigenvalues[J]. Xing Xiao LI Feng Yun ZHANG Department of Mathematics,He’nan Normal University,Xinxiang 453007,He’nan,P.R.China.Acta Mathematica Sinica(English Series). 2007(03)

[6]

Mobius Isoparametric Hypersurfaces in Sn+1 with Two Distinct Principal Curvatures[J]. Hai Zhong LI Department of Mathematics, Tsinghua University. Beijing 100084. P. R. China Hui Li LIU Department of Mathematics, Northeastern University. Shenyang 110000. P. R. China Chang Ping WANG Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences. Peking University, Beijing 100871, P. R. China Guo Song ZHAO Department of Mathematics, Sichuan University, Chengdu 610064. P. R. China.

[7] Classification of the Blaschke Isoparametric Hypersurfaces with Three Distinct Blaschke Eigenvalues [J].

Xingxiao Li ;

Yejuan Peng .

Results in Mathematics, 2010, 58 :145-172

[8] On the Blaschke isoparametric hypersurfaces in the unit sphere [J].

Li, Xing Xiao ;

Zhang, Feng Yun .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (04) :657-678

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