Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We proved a matrix Li-Yau-Hamilton type gradient estimates for the positive solutin of the heat equation on complete Kaehler manifolds with nonnegative bisectional curvature. As a consequence we obtain a comparison theorem for the distance function under this curvature assumption.
Keywords
Cite
@article{arxiv.math/0211283,
title = {Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds},
author = {Huai-dong Cao and Lei Ni},
journal= {arXiv preprint arXiv:math/0211283},
year = {2007}
}