Log gradient estimates for heat type equations on manifolds
Differential Geometry
2024-07-31 v1
Abstract
In this short survey paper, we first recall the log gradient estimates for the heat equation on manifolds by Li-Yau, R. Hamilton and later by Perelman in conjunction with the Ricci flow. Then we will discuss some of their applications and extensions focusing on sharp constants and improved curvature conditions.
Cite
@article{arxiv.2407.20719,
title = {Log gradient estimates for heat type equations on manifolds},
author = {Qi S. Zhang},
journal= {arXiv preprint arXiv:2407.20719},
year = {2024}
}
Comments
a survey paper published in a book chapter, 23 pages