Harnack Estimates for Conjugate Heat Kernel on Evolving Manifolds

Autor:	Cao, Xiaodong, Guo, Hongxin, Tran, Hung
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry 53C44
Druh dokumentu:	Working Paper
DOI:	10.1007/s00209-015-1479-7
Popis:	In this article we derive Harnack estimates for conjugate heat kernel in an abstract geometric flow. Our calculation involves a correction term D. When D is nonnegative, we are able to obtain a Harnack inequality. Our abstract formulation provides a unified framework for some known results, in particular including corresponding results of Ni, Perelman, and Tran as special cases. Moreover it leads to new results in the setting of Ricci-Harmonic flow and mean curvature flow in Lorentzian manifolds with nonnegative sectional curvature. Comment: 16p
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1408.4155 Zobrazit plný text záznamu View this record from Arxiv