中山大学学报（自然科学版）2012，Vol.51Issue(6)：21-24,4.
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
摘要
Abstract
N - dimensional compact closed sub-manifolds Mn of mean curvature and scalar curvature having linear relationship in the space form S"+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Key words
compact closed/ sub-manifold/ mean curvature/ scalar curvature/ totally umbilical property / space form分类
数理科学引用本文复制引用
王琪..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[J].中山大学学报（自然科学版）,2012,51(6):21-24,4.基金项目
贵州省教育厅一般课题资助项目(黔教科2009069) （黔教科2009069）
