| 局部对称流形中具有常平均曲率的紧致超曲面 |
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| 引用本文： | 兰春霞,张剑锋.局部对称流形中具有常平均曲率的紧致超曲面[J].杭州师范学院学报(自然科学版),2014(3):268-272. |
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| 作者姓名： | 兰春霞 张剑锋 |
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| 作者单位： | 丽水学院数学系,浙江丽水323000 |
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| 基金项目： | 浙江省自然科学基金项目（Y6100218）;丽水学院重点科研项目（KZ201113）;丽水学院一般科研项目（KY201105）. |
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| 摘 要： | 文章讨论了局部对称黎曼流形中具有常平均曲率的紧致超曲面的性质，利用Laplace算子的计算，得到关于第二基本形式模长平方S的一个拼挤定理，推广了已有的结果．
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| 关 键 词： | 局部对称 超曲面 紧致 全脐 |
Compact Hypersurface with Constant Mean Curvature in Locally Symmetric Manifold |
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| LAN Chunxia,ZHANG Jianfeng.Compact Hypersurface with Constant Mean Curvature in Locally Symmetric Manifold[J].Journal of Hangzhou Teachers College(Natural Science),2014(3):268-272. |
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| Authors: | LAN Chunxia ZHANG Jianfeng |
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| Institution: | (Department of Mathematics, Lishui University, Lishui 323000, China) |
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| Abstract: | This paper discusses the properties of the compact hypersurface with constant mean curvature in locally symmetric Riemannian manifold, obtains a pinching theorem about the square of the norm of the second fundamental form S by using the Laplace operator, and generalizes the known results. |
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| Keywords: | locally symmetric hypersurface compact totally umbilical |
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