The Upper Bound of the Moebius Scalar Curvature of Submanifolds in S^n＋p

The Upper Bound of the Moebius Scalar Curvature of Submanifolds in S^n＋p

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摘要 The most important Moebius invariants in the Moebius differential geometry of submanifolds in S^n＋p are the Moebius metric g, the Moebius second fundamental form B, the Moebius form φ and the Blaschke tensor A. In this paper, we obtain the upper bound of the Moebius scalar curvature of submanifolds with parallel Moebius form in S^n＋p.

作者 ZHONG Ding-xing SUN Hong-an MO Xiao-kai

机构地区 Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第1期65-73,共9页 数学季刊（英文版）

基金 Supported by the NSF of China(10671087) Supported by the NSF of Jiangxi Province(2008GZS0024)

关键词 upper bound Moebius metric Moebius scalar curvature parallel Moebius form 上面的界限；Moebius 度量标准；Moebius 分级的弯曲；平行 Moebius 形式；

分类号 O186.12 [理学—数学]

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共引文献60

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Chinese Quarterly Journal of Mathematics

2010年第1期

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The Upper Bound of the Moebius Scalar Curvature of Submanifolds in S^n＋p

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二级参考文献6

共引文献60

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