Bakry–Emery Curvature Operator and Ricci Flow |
| |
| Authors: | Qi-hua Ruan |
| |
| Affiliation: | (1) School of Mathematics, Zhongshan University, Guangzhou, Guangdong, 510275, People’s Republic of China;(2) Department of Mathematics, Putian University, Putian, Fujian, 351100, People’s Republic of China |
| |
| Abstract: | In this paper, we introduce some techniques of Bakry–Emery curvature operator to Ricci flow and prove the evolution equation for the Bakry–Emery scalar curvature. As its application, we can easily derive the Perelman’s entropy functional monotonicity formula. We also discuss some gradient estimates of Ricci curvature and L 2– estimates of scalar curvature.Project partially supported by Yumiao Fund of Putian University. |
| |
| Keywords: | Bakry– Emery curvature operator Ricci flow gradient estimates |
| 本文献已被 SpringerLink 等数据库收录！ |
|
