Matrix Li-Yau-Hamilton Estimates under K\"ahler-Ricci Flow
Differential Geometry
2023-07-21 v1 Analysis of PDEs
Abstract
We prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the K\"ahler-Ricci flow. As an application, we obtain a monotonicity formula.
Keywords
Cite
@article{arxiv.2307.10920,
title = {Matrix Li-Yau-Hamilton Estimates under K\"ahler-Ricci Flow},
author = {Xiaolong Li and Hao-Yue Liu and Xin-An Ren},
journal= {arXiv preprint arXiv:2307.10920},
year = {2023}
}
Comments
13 pages. Comments are welcome