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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作  者:ZHONG Ding-xing SUN Hong-an MO Xiao-kai 

机构地区:[1]Department of Mathematics, Gannan Teachers College, Ganzhou 341000, China

出  处:《Chinese Quarterly Journal of Mathematics》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)

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.

关 键 词:upper bound Moebius metric Moebius scalar curvature parallel Moebius form 

分 类 号:O186.12[理学—数学]

 

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