摘要
研究了常曲率流形中具有平行中曲率向量的紧致伪脐子流形,得到了这类子流形是全脐子流形的三个充分条件,推广并改进了孙自琪和沈一兵先生的有关结果.
This paper gives some sufficient conditions for a totally umbilical submanifold in the pseudo - umbilical submanifolds with parallel mean curvature sector in constant curvature space, which generalizes the results obtained by Sun Zi - qi and Shen Yi - bing.
出处
《湖州师范学院学报》
2006年第1期13-18,共6页
Journal of Huzhou University
关键词
常曲率空间
伪脐子流形
全脐子流形
constant curvature manifold
pseudo- umbilical submanifold
totally umbilical submanifold
