| 局部对称拟常曲率黎曼流形中伪脐子流形的Pinching定理 |
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| 引用本文： | 齐邦交,李明图. 局部对称拟常曲率黎曼流形中伪脐子流形的Pinching定理[J]. 甘肃联合大学学报(自然科学版), 2009, 23(2) |
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| 作者姓名： | 齐邦交 李明图 |
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| 作者单位： | 天水师范学院,数学与统计学院,甘肃,天水,741001 |
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| 摘 要： | 讨论局部对称拟常曲率黎曼流形Nn+p中具有平行平均曲率向量的紧致伪脐子流形Mn,得到了Mn是全脐子流形的两个Pinching定理.
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| 关 键 词： | 拟常曲率 平行平均曲率向量 截面曲率 第二基本形式 全脐子流形 |
Pinching Theorems for Pseudo-umbilical Submanifolds in a Riemannian Manifold of Quasi-constant Curvature |
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| QI Bang-jiao,LI Ming-tu. Pinching Theorems for Pseudo-umbilical Submanifolds in a Riemannian Manifold of Quasi-constant Curvature[J]. Journal of Gansu Lianhe University :Natural Sciences, 2009, 23(2) |
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| Authors: | QI Bang-jiao LI Ming-tu |
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| Affiliation: | School of Mathematics and Statistics;Tianshui Normal College;Tianshui 741001;China |
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| Abstract: | In this paper,we discuss the compact pseudo-umbilical submanifold Mn with parallel mean curvature in local symmetric Riemannian manifold Nn+p of quasi-constant curvature,and obtain two Pinching theorems of Mn which is expected to be a totally umbilical submanifold. |
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| Keywords: | Quasi-constant curvature Parallel mean curvature The second fundamental form Totally umbilical submanifold |
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