紧致带边黎曼流形上的Ricci形变

Ricci deformation of the metric on a Riemannian manifolds

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摘要研究n维紧致带边流形的Ricci形变问题,得到在如下拼脐条件下|W|2+|V|2≤3(n1-2)|U|2,则(M,g)在Ricci流下可形变为(M,g∞),使得(M,g∞)具有常正曲率和全测地边界. The metric deformation is studied on smooth compact n dimension Riemannian manifolds with totally geodesic boundry with the ：pinching condition as follows：｜W｜^2＋｜V｜^2≤1/3（n-2）｜U｜^2,then （M,g） can be deformed to （M,g∞）, so that （M, g∞） has constant positive curvature with totally geodesic.

作者赵成兵陈邦考

机构地区安徽建筑工业学院数学系

出处《浙江大学学报（理学版）》 CAS CSCD 北大核心 2008年第4期381-384,394,共5页 Journal of Zhejiang University（Science Edition）

基金安徽省教育厅重点项目(KJ2008A030) 安徽省教育厅项目(KJ2008B237) 安徽建筑工业学院博士基金(2007-6-3)

关键词 RICCI流拼脐条件形变 Ricci flow pinching deformation

分类号 O186.1 [理学—基础数学]

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1黄飞.从一类热流方程的初值解探究调和映射的存在性[J].科协论坛（下半月）,2011(5):93-94.

浙江大学学报（理学版）

2008年第4期

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紧致带边黎曼流形上的Ricci形变

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