| 局部对称流形中具有常平均曲率的完备超曲面 |
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| 引用本文： | 张剑锋,洪涛清.局部对称流形中具有常平均曲率的完备超曲面[J].纯粹数学与应用数学,2013(2):118-124. |
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| 作者姓名： | 张剑锋 洪涛清 |
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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（Y6100218）;丽水学院科研项目（KZ201113,KY201105）. |
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| 摘 要： | 讨论了局部对称黎曼流形中具有常平均曲率的完备超曲面的性质，通过Laplace算子的计算，得到一个关于第二基本形式模长平方S的拼挤定理，推广了已有的结果．
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| 关 键 词： | 局部对称 超曲面 完备 全脐 |
Complete hypersurfaces with constant mean curvature in locally symmetric manifold |
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| Zhang Jianfeng,Hong Taoqing.Complete hypersurfaces with constant mean curvature in locally symmetric manifold[J].Pure and Applied Mathematics,2013(2):118-124. |
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| Authors: | Zhang Jianfeng Hong Taoqing |
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| Institution: | (Department of Mathematics, Lishui University, Lishui 323000, China) |
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| Abstract: | In this paper, the complete hypersurfaces with constant mean curvature in locally symmetric manifold are investigated, a pinching theorem about the square of the length of the second fundamental form S is obtained by using the Laplace operator, which generalizes the known results. |
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| Keywords: | locally symmetric hypersurfaces complete totally umbilical |
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