Li-Yau-Hamilton estimates and Bakry-Emery Ricci curvature
Differential Geometry
2014-06-03 v1 Analysis of PDEs
Abstract
In this paper we derive Cheng-Yau, Li-Yau, Hamilton estimates for Riemannian manifolds with Bakry-Emery Ricci curvature bounded from below, and also global and local upper bounds, in terms of Bakry-Emery Ricci curvature, for the Hessian of positive and bounded solutions of the weighted heat equation on a closed Riemannian manifold.
Keywords
Cite
@article{arxiv.1406.0125,
title = {Li-Yau-Hamilton estimates and Bakry-Emery Ricci curvature},
author = {Yi Li},
journal= {arXiv preprint arXiv:1406.0125},
year = {2014}
}
Comments
41 pages