| 局部对称空间中的伪脐子流形 |
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| 引用本文： | 吴可丹. 局部对称空间中的伪脐子流形[J]. 丽水学院学报, 2007, 29(2): 1-5 |
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| 作者姓名： | 吴可丹 |
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| 作者单位： | 温州大学,数学与信息科学学院,浙江,温州,325000 |
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| 基金项目： | 致谢 本文是在张宗劳教授的耐心指导下完成的.在此表示衷心感谢! |
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| 摘 要： | 讨论了局部对称完备黎曼流形中具有平行平均曲率向量场的紧致伪脐子流形,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.
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| 关 键 词： | 局部对称 全脐子流形 平行平均曲率向量场 |
| 文章编号： | 24365769 |
| 修稿时间： | 2006-09-04 |
On the Pseudo-umbilical Submanifolds of a Locally Symmetric Space |
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| Wu Kedan. On the Pseudo-umbilical Submanifolds of a Locally Symmetric Space[J]. Journal of Lishui University, 2007, 29(2): 1-5 |
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| Authors: | Wu Kedan |
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| Affiliation: | College of Mathematics and Information Science. Wenzhou University.Wenzhou Zhejiang 325000.China |
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| Abstract: | The author discussed the compact pseudo-umbilical submanifolds Mn with parallel mean curvature vector in a locally symmetric Riemannian manifold Nn p,and got some pinching theorems that Mn formed a totally umbilical submanifold and reduction of the codimension. |
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| Keywords: | locally symmetric pseudo-umbilical submanifolds totally umbilical |
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