| Ricci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面 |
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| 引用本文： | 郑媛.Ricci曲率平行的黎曼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),2009,8(3):189-192,198. |
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| 作者姓名： | 郑媛 |
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| 作者单位： | 杭州师范大学理学院,浙江杭州,310036 |
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| 摘 要： | 主要研究了Ricci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面,得到了J.Simons型积分不等式,推广了局部对称空间中该超曲面的有关结果.
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| 关 键 词： | 平行Ricci曲率 常平均曲率 积分不等式 |
Campact Hypersurfaces with Constant Mean Curvature in Riemannian Manifolds with Parallel Ricci Curvature |
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| ZHENG Yuan.Campact Hypersurfaces with Constant Mean Curvature in Riemannian Manifolds with Parallel Ricci Curvature[J].Journal of Hangzhou Teachers College(Natural Science),2009,8(3):189-192,198. |
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| Authors: | ZHENG Yuan |
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| Institution: | ZHENG Yuan (College of Science, Hangzhou Normal University, Hangzhou 310036, China) |
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| Abstract: | This paper studies the hypersurfaces with constant mean curvature in a d-pinched Riemannian manifold with parallel Ricci curvature, sets up a kind of J. Simons inequality and generalizes some relative results about these hypersurfaces in the locally symmetric manifiold. |
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| Keywords: | parallel Ricci curvature constant mean curvature integral inequality |
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