| 摘要: |
| 本文研究了LE算子的一类特征值问题.利用Bochner型公式,我们得到了此类问题第一非零特征值的一个Lichnerowicz-Obata型估计,进而将[3]和[7]中的结果推广到了LE算子的情形. |
| 关键词: 第一非零特征值 Bochner型公式 椭圆算子 Einstein张量 |
| DOI： |
| 分类号:O186.12 |
| 基金项目:Supported by NSF of Hubei provincial Department of Education(D20221302), National Natural Science Foundation of China(11971358) and the PhD Start-up Fund of Yangtze University. |
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| A LICHNEROWICZ-OBATA TYPE ESTIMATE FOR LE OPERATOR |
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SHI Jiang-hai
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School of Information and Mathematics, Yangtze University, Jingzhou 434023, China
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| Abstract: |
| In this paper, we investigate a class of eigenvalue problem of the LE operator. By applying Bochner type formula, we obtain a Lichnerowicz-Obata type estimate for the first nonzero eigenvalue of this eigenvalue problem, which extends the results of [3] and [7] to the LE case. |
| Key words: first nonzero eigenvalue Bochner type formula elliptic operator einstein tensor |
