Matrix Li-Yau-Hamilton Estimates under K\'ahler-Ricci Flow

Autor:	Li, Xiaolong, Liu, Hao-Yue, Ren, Xin-An
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs 53E30 58J35 35K05
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages. Comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.10920 Zobrazit plný text záznamu View this record from Arxiv