摘要
本文讨论了单位球面上具有正李奇曲率的紧致极小子流形和平均曲率向量平行的子流形.在某些情况下改进和推广了N.Ejiri的结果.
In this paper,we consider compact submanifolds of a sphere with positive Ricci curra-ture.Some rigidity theorems are given for compact minimal submanifolds and submanifolds with parallel mean curvature vector.The result of N.Ejiri is improved for some cases.
出处
《湖南师范大学自然科学学报》
CAS
1993年第1期17-20,共4页
Journal of Natural Science of Hunan Normal University
关键词
极小
子流形
李奇曲率
球面
Ricci curvature
minimal submanifold
mean curvature vector
