郑州大学学报（理学版）2005，Vol.37Issue(1)：1-4,4.
关于单位球面中偶维数子流形的一个球定理
A Sphere Theorem for Even-dimensional Submanifolds of the Unit Sphere
摘要
Abstract
A topological sphere theorem from the point of view of submanifold geometry for even-dimensional submanifolds Mn in the unit sphere is established.There are some examples which show that the result is optimal.This sphere theorem is the counterpart of the very recent result of Th.Vlachos who obtained such a sphere theorem for odd-dimensional submanifolds and his assumption on the dimension is essential.关键词
李奇曲率/平均曲率向量/同胚/同调群Key words
Ricci curvature/mean curvature vector/homeomorphic/homology group分类
数理科学引用本文复制引用
胡泽军,翟书杰..关于单位球面中偶维数子流形的一个球定理[J].郑州大学学报（理学版）,2005,37(1):1-4,4.基金项目
河南省杰出青年科学基金资助项目 （）
教育部留学回国人员科研启动基金资助项目. （）
