摘要
讨论了局部对称完备黎曼流形中的紧致伪脐子流形,且具有平行平均曲率向量场.得到了这类子流形成为全脐子流形及其余维数减小的几个拼挤定理,全面改进了文[5]的结果.
In this paper,We discussed the compact pseudo-umbilical submanifolds M^n whit parallel mean curvature vector in a locally symmetric Riemannian manifold N^(n+p),and get some pinching theorems that M^n be an totally umbilical submanifold and reduction of the codimension,which improve the results obtained by Song Weidong.
出处
《商丘师范学院学报》
CAS
2004年第2期69-72,共4页
Journal of Shangqiu Normal University
