| 关于紧致伪脐子流形的Pinching定理 |
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| 引用本文： | 毛井,章领.关于紧致伪脐子流形的Pinching定理[J].江汉大学学报(自然科学版),2008,36(3):8-10. |
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| 作者姓名： | 毛井 章领 |
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| 作者单位： | 湖北大学数学与计算机科学学院,武汉,430062 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究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具有平行中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,推广了纪永强的相关结果.
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| 关 键 词： | 拟常曲率流形 伪脐子流形 全脐子流形 Ricci曲率 |
Pinching Theorems for Pseudo-umbilical Submanifold |
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| MAO Jing,ZHANG Ling.Pinching Theorems for Pseudo-umbilical Submanifold[J].Journal of Jianghan University:Natural Sciences,2008,36(3):8-10. |
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| Authors: | MAO Jing ZHANG Ling |
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| Institution: | (School of Mathematics and Computer Science, Hubei University, Wuhan 430062, China) |
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| Abstract: | Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang. |
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| Keywords: | quasi-constant curvature manifold pseudo-umbilical submanifold total-umbilical submanifold Ricci curvature |
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