Constrained matrix Li-Yau-Hamilton estimates on K\"ahler manifolds
Differential Geometry
2014-07-02 v1 Complex Variables
Abstract
We derive an interpolation version of constrained matrix Li-Yau-Hamilton estimate on K\"ahler manifolds. As a result, we first get a constrained matrix Li-Yau-Hamilton estimate for heat equation on a K\"ahler manifold with fixed K\"ahler metric. Secondly, we get a corresponding estimate for forward conjugate heat equation on K\"ahler manifolds with time dependent K\"ahler metrics evolving by K\"ahler-Ricci flow.
Keywords
Cite
@article{arxiv.1407.0099,
title = {Constrained matrix Li-Yau-Hamilton estimates on K\"ahler manifolds},
author = {Xin-An Ren and Sha Yao and Li-Ju Shen and Guang-Ying Zhang},
journal= {arXiv preprint arXiv:1407.0099},
year = {2014}
}