Some applications of time derivative bound to Ricci flow
主 题: Some applications of time derivative bound to Ricci flow
报告人: Professor Qi Zhang (UC Riverside and Nanjing University)
时 间: 2014-10-24 15:00-16:00
地 点: 理科一号楼1114（数学所活动）
We present a joint work with Richard Bamler. We consider Ricci flows that satisfy certain scalar curvature bounds. It is found that the time derivative of the heat equation and the curvature tensor have better than expected bounds. Based on these, we address a number of problems which have been around for some time. Among these are: backward pseudolocality, $L^2$-curvature bounds in dimension $4$, bounds on distance distortion at different times in low dimensions and Gaussian bounds for the heat kernel.
