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Harnack inequalities for positive solutions of the heat equation on closed Finsler manifolds (1811.02100v1)
Published 6 Nov 2018 in math.DG
Abstract: The main goal of this paper is to generalize some Li-Yau type gradient estimates to Finsler geometry in order to derive Harnack type inequalities. Moreover, we obtain, under some curvature assumption, a general gradient estimate for positive solutions of the heat equation when the manifold evolving along the Finsler Ricci flow.
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