| 摘要: |
| 本文研究了非负Ricci的黎曼流形上不等式问题,利用了贾-王-夏-张的方法,获得了两类几何不等式的结果,推广了贾-王-夏-张的结果. |
| 关键词: Heintze-Karcher不等式 Willmore不等式 超曲面 |
| DOI: |
| 分类号:O186.1 |
| 基金项目: |
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| TWO GEOMETRY INQUEALITY IN RIEMANNIAN MANIFOLD WITH NONNEGATIVE RICCI CURVATURE AND CONVEX BOUNDARY |
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LU Cheng-hang
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School of Mathematical Science, Xiamen University, Fujian 361005, China
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| Abstract: |
| In this paper we investigates the problem of inequalities on Riemannian manifolds with nonnegative Ricci curvature. By employing the method of Jia-Wang-Xia-Zhang, two types of results on geometric inequalities are obtained, generalizing the results of Jia-Wang-Xia-Zhang. |
| Key words: Heintze-Karcher inequality Willmore inequality Hypersurfaces |