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| 伪脐子流形的两个Pinching定理 | |
| 引用本文： | 纪永强. 伪脐子流形的两个Pinching定理[J]. 海南师范大学学报(自然科学版), 2005, 18(1): 12-15 |
| 作者姓名： | 纪永强 |
| 作者单位： | 湖州师范学院,数学系,浙江,湖州,313000 |
| 摘 要： | 设Mn+p+q2是n+p+q维拟常曲率的黎曼流形,Mn+p1(c1)为Mn+p+q2中的n+p维常曲率为c1的子流形,Mn为Mn+p1(c1)中具有平行平均曲率向量的紧致伪脐子流形,给出了Mn是Mn+p1(c1)的全脐子流形的几个充分条件. |
| 关 键 词： | 拟常曲率流形 伪脐子流形 全脐子流形 |
| 文章编号： | 1671-8747(2005)01-0012-04 |
| 修稿时间： | 2004-10-20 |
Two Pinching theorems for pseudo-umbilical submanifolds |
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| JI Yong-qiang. Two Pinching theorems for pseudo-umbilical submanifolds[J]. Journal of Hainan Normal University:Natural Science, 2005, 18(1): 12-15 | |
| Authors: | JI Yong-qiang |
| Abstract: | Let M~(n+p+q)_2 be a (n+p+q)-dimensional quasi-constant curvature Riemannian manifold and M~(n+p)_1(c_1) be a (n+p)-dimensional with constant curvature c_1 in M~(n+p+q)_2,and let M~n be a compact pseudo-umbilical submanifold with parallel mean curvature vector in M~(n+p)_1(c_1),we give some sufficient conditions for M~n to be a totally umbilical submanifold in M~(n+p)_1(c_1). |
| Keywords: | quasi-constant curvature manifold pseudo-umbilical submanifold totally umbilical submanifold |
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