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

Article ID Journal Published Year Pages File Type
8898729 Journal of Differential Equations 2018 29 Pages PDF
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 [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].
Keywords
53C44primary
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Long time existence and bounded scalar curvature in the Ricci-harmonic flow
Authors
Yi Li,
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Journal of Differential Equations
Journal: Journal of Differential Equations
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