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| 摘要: |
| 本文研究了积分Ricci曲率条件下加权Laplace算子的第一特征值估计的问题.利用Bochner公式与加权Reilly公式等处理特征值问题的方法，获得了加权Laplace在积分Ricci曲率条件下第一特征值估计下界的估计. |
| 关键词: 积分Ricci曲率 第一特征值 加权Laplace |
| DOI： |
| 分类号:O186.12 |
| 基金项目: |
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| AN EIGENVALUE ESTIMATE ABOUT THE WEIGHTED LAPLACE UNDER THE INTEGRAL RICCI CURVATURE CONDITION |
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HOU Biao
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| Abstract: |
| In this paper, the first eigenvalue estimation of the weighted Laplace operator under the integral Ricci curvature is studied. By means of Bochner formula and weighted Reilly formula, the estimation of the lower bound of the first eigenvalue estimation of weighted Laplace under the Ricci curvature condition are obtained. |
| Key words: integral Ricci curvature the first eigenvalue weighted Laplace |
