| 伪脐子流形的Pinching定理 |
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| 引用本文： | 纪永强. 伪脐子流形的Pinching定理[J]. 宁夏大学学报(自然科学版), 2007, 28(2): 117-119,123 |
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| 作者姓名： | 纪永强 |
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| 作者单位： | 湖州师范学院数学系,浙江湖州,313000 |
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| 摘 要： | 研究了2个嵌套空间中的子流形．对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中的具有平行平均曲率向量的紧致伪脐子流形，给出了这种伪脐子流形是全脐子流形的3个充分条件．
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| 关 键 词： | 拟常曲率流形 伪脐子流形 全脐子流形 |
| 文章编号： | 0253-2328（2007）02-0117-04 |
| 修稿时间： | 2005-09-03 |
Pinching Theorems for Pseudo-umbilical Submanifolds |
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| Ji Yongqiang. Pinching Theorems for Pseudo-umbilical Submanifolds[J]. Journal of Ningxia University(Natural Science Edition), 2007, 28(2): 117-119,123 |
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| Authors: | Ji Yongqiang |
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| Abstract: | Submanifolds in two nested space are discussed. For constant submanifolds in quasi-constant curvature Riemannian manifold, and pseudo-umbilical submanifold with parallel mean curvature vector in constant space, three sufficient conditions are given for pseudo-umbilical submanifold to be a totally umbilical submanifold in constant space. |
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| Keywords: | quasi-constant curvature manifold pseudo-umbilical submanifold totally umbilical submanifold |
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