空间形式中平均曲率与纯量曲率成线性关系的紧致闭子流形  

Compact Closed Sub-Manifolds of Mean Curvature and Scalar Curvature Having Linear Relationship in a Space Form

作　　者：王琪[1] 

机构地区：[1]贵阳学院数学系,贵州贵阳550005

出　　处：《中山大学学报（自然科学版）》2012年第6期21-24,共4页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：贵州省教育厅一般课题资助项目(黔教科2009069)

摘　　要：研究空间形式Sn+p(1)中平均曲率与纯量曲率成线性关系的n维紧致闭子流形Mn,所得定理A将有关文献中关于常纯量曲率的子流形的脐性结果推广到了平均曲率与纯量曲率成一般线性关系的子流形。N-dimensional compact closed sub-manifolds Mnof mean curvature and scalar curvature having linear relationship in the space form Sn＋p（1） are studied. The Theorem A generalizes the totally umbilical resolute of sub-manifolds of constant scalar curvature to sub-manifolds of mean curvature and scalar curvature having linear relationship.

关 键 词：紧致闭 子流形 平均曲率 纯量曲率 全脐性质 空间形式 

分 类 号：O186.17[理学—数学]