3 papers
math.DG2023
Matrix Li-Yau-Hamilton Estimates under Kähler-Ricci Flow
Xiaolong Li, Hao-Yue Liu, Xin-An Ren
We prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Kähler-Ricci flow. As an appli…
math.DG2019
Matrix Li-Yau-Hamilton Estimates for Nonlinear Heat Equations
Xin-An Ren
In this paper we are concerned with the matrix Li-Yau-Hamilton estimates for nonlinear heat equations. Firstly, we derive such estimate on a Kähler manifold with a fixed Kähler met…
math.DG2014
Constrained matrix Li-Yau-Hamilton estimates on Kähler manifolds
Xin-An Ren, Sha Yao, Li-Ju Shen +1
We derive an interpolation version of constrained matrix Li-Yau-Hamilton estimate on Kähler manifolds. As a result, we first get a constrained matrix Li-Yau-Hamilton estimate for h…