| Bakry-■mery里奇曲率下的Calabi-型定理 |
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| 引用本文： | 李冠巡,刘晗,张世金,郑毅.Bakry-■mery里奇曲率下的Calabi-型定理[J].数学年刊A辑(中文版),2019,40(3):335-348. |
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| 作者姓名： | 李冠巡 刘晗 张世金 郑毅 |
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| 作者单位： | 北京航空航天大学数学与系统科学学院, 北京 100191.,北京航空航天大学数学与系统科学学院, 北京 100191.,通信作者. 北京航空航天大学数学与系统科学学院, 北京 100191.,北京航空航天大学数学与系统科学学院, 北京 100191. |
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| 摘 要： | 得到了两个关于黎曼流形上Bakry-■mery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.
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| 关 键 词： | Myers-type theorem Bakry-''Emery Ricci curvature Riccati equation |
| 收稿时间： | 2017/5/23 0:00:00 |
| 修稿时间： | 2018/11/12 0:00:00 |
On a Theorem of Calabi for Bakry-\'Emery Ricci Tensor |
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| LI Guanxun,LIU Han,ZHANG Shijin and ZHENG Yi.On a Theorem of Calabi for Bakry-\''Emery Ricci Tensor[J].Chinese Annals of Mathematics,2019,40(3):335-348. |
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| Authors: | LI Guanxun LIU Han ZHANG Shijin and ZHENG Yi |
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| Institution: | School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.,School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.,Corresponding author. School of Mathematics and Systems Science, Beihang University, Beijing 100191, China. and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China. |
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| Abstract: | 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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| Keywords: | Myers-type theorem Bakry-''Emery Ricci curvature Riccati equation |
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