共形空间Q_1^(n+1)中类空超曲面的拼挤问题

Pinching Problem of Space-Like Hypersurfaces in the Conformal Space Q_1^(n+1)

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摘要通过对第二共形基本形式的模长平方作拼挤,给出Clifford超柱面的一个共形特征. Through pinching the square norm of the second conformal fundamental form,a conformal character of the Clifford hypercylinder is given.

作者聂昌雄

机构地区湖北大学数学与统计学学院

出处《数学年刊（A辑）》 CSCD 北大核心 2015年第1期31-36,共6页 Chinese Annals of Mathematics

基金国家留学基金(No.留金法[2011]5025)的资助

关键词正则超曲面共形不变量 Blaschke全脐超曲面极大超曲面 Clifford超柱面 Regular hypersurfaces Conformal invariants Blaschke umbilical hypersurfaces Maximal hypersurfaces Clifford hypercylinder

分类号 O186.11 [理学—基础数学]

作者简介 E—mail：chxnie@163．com

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参考文献4

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二级参考文献6

1HU Zejun,LI Haizhong Department of Mathematics, Zhengzhou University Zhengzhou 450052, China Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China.Classification of hypersurfaces with parallel Mobius second fundamental form in S^(n+1)[J].Science China Mathematics,2004,47(3):417-430. 被引量：34
2NIE 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,Hubei University,Wuhan 430062,China.Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space[J].Science China Mathematics,2010,53(4):953-965. 被引量：10
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共引文献46

1NIE 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,Hubei University,Wuhan 430062,China.Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space[J].Science China Mathematics,2010,53(4):953-965. 被引量：10
2李兴校,张凤云.单位球面S^(m+1)中具有平行Blaschke张量的超曲面的完全分类[J].河南师范大学学报（自然科学版）,2005,33(3):183-183.
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8聂昌雄,吴传喜.共形空间中平行的共形第二基本形式的类空超曲面[J].数学学报（中文版）,2008,51(4):685-692. 被引量：9
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1夏霖.复射影空间中凯勒子流形的逐点拼挤问题[J].杭州师范大学学报（自然科学版）,2012,11(6):528-533.
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共形空间Q_1^(n+1)中类空超曲面的拼挤问题

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