Long time existence and bounded scalar curvature in the Ricci-harmonic flow
Differential Geometry
2015-11-30 v2 Analysis of PDEs
Abstract
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 \cite{Cao2011} 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 \cite{Simon2015}.
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Cite
@article{arxiv.1510.05788,
title = {Long time existence and bounded scalar curvature in the Ricci-harmonic flow},
author = {Yi Li},
journal= {arXiv preprint arXiv:1510.05788},
year = {2015}
}
Comments
24 pages