Reference : Long time existence and bounded scalar curvature in the Ricci-harmonic flow
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/35030
Long time existence and bounded scalar curvature in the Ricci-harmonic flow
English
Li, Yi mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2018
Journal of Differential Equations
Academic Press
265
1
69-97
Yes
International
0022-0396
1090-2732
[en] Ricci-harmonic flow ; curvature pinching estimates ; bounded scalar curvature
[en] 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}.
http://hdl.handle.net/10993/35030
10.1016/j.jde.2018.02.028

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