| 常曲率黎曼流形中具有平行中曲率向量的紧致伪脐子流形 |
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| 引用本文： | 毛井,李光汉. 常曲率黎曼流形中具有平行中曲率向量的紧致伪脐子流形[J]. 湖北大学学报(自然科学版), 2009, 31(4): 339-342 |
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| 作者姓名： | 毛井 李光汉 |
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| 作者单位： | 湖北大学,数学与计算机科学学院,湖北,武汉,430062;湖北大学,数学与计算机科学学院,湖北,武汉,430062 |
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| 基金项目： | 湖北省教育厅重点科研项目(D20071001)资助 |
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| 摘 要： | 研究常曲率黎曼流形N^n＋P（c）中具有平行中曲率向量的紧致伪脐子流形M^n,得到子流形M^n的内在量K,Q,σ若满足一定关系可使M^n是全脐子流形．推广了徐仙发和纪永强的有关结果．
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| 关 键 词： | 常曲率黎曼流形 平行中曲率向量 伪脐子流形 全脐子流形 |
The compact pseudo-umbilical submanifold with parallel mean curvature vector in the Riemannian manifold with constant curvature |
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| MAO Jing,LI Guang-han. The compact pseudo-umbilical submanifold with parallel mean curvature vector in the Riemannian manifold with constant curvature[J]. Journal of Hubei University(Natural Science Edition), 2009, 31(4): 339-342 |
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| Authors: | MAO Jing LI Guang-han |
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| Affiliation: | School of Mathematics and Computer Science;Hubei University;Wuhan 430062;China |
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| Abstract: | Considered the compact pseudo-umbilical submanifold M^n with parallel mean curvatue vector in the Riemannian manifold N^n＋p （c） with constant curvature c, and concluded that if the inherent quantities of M^n, K,Q,σ, satisfied two suitable conditions then M^n must be a totally umbilical submanifold of N^n＋p （c）. The paper generalized the results which obtained by Xu Xian-fa and Ji Yong-qiang. |
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| Keywords: | Riemannian manifold mean curvature vector pseudo-umbilical sub-manifold totally umbilical submanifold |
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