常曲率流形中具有平行中曲率向量的伪脐子流形  

On the Pseudo-umbilical Submanifolds with Parallel Mean Curvature Vector in Constant Curvature Space

作　　者：纪永强[1] 

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2006年第1期13-18,共6页Journal of Huzhou University

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.

关 键 词：常曲率空间 伪脐子流形 全脐子流形 

分 类 号：O186.12[理学—数学]