| 李冠巡,刘晗,张世金,郑毅.Bakry-Émery里奇曲率下的Calabi-型定理[J].数学年刊A辑,2019,40(3):335~348 |
| Bakry-Émery里奇曲率下的Calabi-型定理 |
| On a Theorem of Calabi for Bakry-\'Emery Ricci Tensor |
| Received:May 23, 2017 Revised:November 12, 2018 |
| DOI：10.16205/j.cnki.cama.2019.0025 |
| 中文关键词: Myers-type theorem, Bakry-'Emery Ricci curvature, Riccati equation |
| 英文关键词:Myers-type theorem, Bakry-'Emery Ricci curvature, Riccati equation |
| 基金项目: |
| Author Name | Affiliation | E-mail | | LI Guanxun | School of Mathematics and Systems Science, Beihang University, Beijing 100191, China. | 641783717@qq.com | | LIU Han | School of Mathematics and Systems Science, Beihang University, Beijing 100191, China. | 1242073963@qq.com | | ZHANG Shijin | Corresponding author. School of Mathematics and Systems Science, Beihang University, Beijing 100191, China. | shijinzhang@buaa.edu.cn | | ZHENG Yi | School of Mathematics and Systems Science, Beihang University, Beijing 100191, China. | zhengyitangshan@163.com |
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| 中文摘要: |
| 得到了两个关于黎曼流形上Bakry-\'Emery里奇曲率沿着测地线的积分估计.
作为应用, 得到了两个Calabi定理的推广结果, 即得到了流形是紧致的充分条件. |
| 英文摘要: |
| In this paper, the authors obtain two theorems about the estimate for the integral of the Bakry-\'Emery Ricci
curvature along a geodesic on Riemannian manifold. As an application, the authors obtain the sufficient conditions
for compactness. They are as generalizations of one theorem of Calabi. |
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