Harnack estimates for geometric flows, applications to Ricci flow coupled with harmonic map flow

被引：19

作者：

Guo, Hongxin ^{[1
,2
]}

He, Tongtong ^{[1
]}

机构：

[1] Wenzhou Univ, Sch Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China

[2] Math Res Unit, L-1359 Luxembourg, Luxembourg

来源：

GEOMETRIAE DEDICATA | 2014年 / 169卷 / 01期

关键词：

Ricci flow; Conjugate heat equation; Harnack estimate; HEAT-EQUATION;

D O I：

10.1007/s10711-013-9864-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive Harnack estimates for heat and conjugate heat equations in abstract geometric flows. The main results lead to new Harnack inequalities for a variety of geometric flows. In particular, Harnack inequalities for the Ricci flow coupled with Harmonic map flow are obtained.

引用

页码：411 / 418

页数：8

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