Sharp Hamilton's Laplacian estimate for the heat kernel on complete manifolds
Differential Geometry
2013-05-06 v1
Abstract
In this paper we give Hamilton's Laplacian estimates for the heat equation on complete noncompact manifolds with nonnegative Ricci curvature. As an application, combining Li-Yau's lower and upper bounds of the heat kernel, we give an estimate on Laplacian form of the heat kernel on complete manifolds with nonnegative Ricci curvature that is sharp in the order of time parameter for the heat kernel on the Euclidean space.
Cite
@article{arxiv.1305.0618,
title = {Sharp Hamilton's Laplacian estimate for the heat kernel on complete manifolds},
author = {Jia-Yong Wu},
journal= {arXiv preprint arXiv:1305.0618},
year = {2013}
}
Comments
9 pages, to appear in Proceedings of the AMS