Long time existence and bounded scalar curvature in the Ricci-harmonic flow

被引：8
作者：
Li, Yi [1 ]
机构：
[1] Univ Luxembourg, Math Res Unit, FSTC, Campus Belval,Maison Nombre,6 Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 265卷 / 01期
关键词：
Ricci-harmonic flow; Curvature pinching estimates; Bounded scalar curvature; DIFFERENTIAL HARNACK INEQUALITIES; BACKWARD HEAT-EQUATIONS; MANIFOLDS; SINGULARITIES; POTENTIALS; ENTROPY;
D O I：
10.1016/j.jde.2018.02.028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the long time existence of the Ricci-harmonic flow in terms of scalar curvature and Weyl tensor which extends Cao's result [6] in the Ricci flow. In dimension four, we also study the integral bound of the "Riemann curvature" for the Ricci-harmonic flow generalizing a recently result of Simon [38]. (c) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：69 / 97
页数：29
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