On the Extension of Ricci Harmonic Flow

被引：0

作者：

Wu, Guoqiang ^{[1
]}

Zheng, Yu ^{[2
]}

机构：

[1] Zhejiang Sci Tech Univ, Sch Sci, Hangzhou 310018, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2020年 / 75卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Ricci harmonic flow; sobolev constant; moser iteration; CURVATURE; INEQUALITIES; BOUNDS;

D O I：

10.1007/s00025-020-1185-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the extension problem of Ricci harmonic flow. On one hand, using the method of blowing up, we prove Ricci harmonic flow can be extended if Ln+2/2 norm of Riemannian curvature operator on M x [0, T) is bounded. On the other hand, we establish L-infinity bound for nonnegative subsolution to linear parabolic equation, as an application, we prove that Ricci harmonic flow can be extended if Ln+2/2 norm of scalar curvature on M x [0, T) is bounded and Ricci curvature has a uniform lower bound.

引用

页数：21

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