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

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}.

preprint2015arXivOpen access
Yi Li
math.APmath.DG
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Yi Li

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