A Matrix Li-Yau-Hamilton estimate for the Green function on K\"ahler manifolds
Differential Geometry
2022-08-30 v1 Analysis of PDEs
Abstract
In this paper we prove a matrix Li-Yau-Hamilton inequality for the Green function on complete K\"ahler manifolds with nonnegative holomorphic bisectional curvature. This estimate can be seen as an elliptic analogue of the matrix estimate of Cao and Ni for the heat equation on K\"ahler manifolds, or the complex analogue of the estimate for Riemannian manifolds obtained previously by the author.
Keywords
Cite
@article{arxiv.2208.13373,
title = {A Matrix Li-Yau-Hamilton estimate for the Green function on K\"ahler manifolds},
author = {Jiewon Park},
journal= {arXiv preprint arXiv:2208.13373},
year = {2022}
}