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math.DG2018
Harnack inequalities for positive solutions of the heat equation on closed Finsler manifolds
Cyrille Combete, Serge Degla, Leonard Todjihounde
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 c…
math.DG2008
g-Natural metrics of constant sectional curvature
S. Degla, J. -P. Ezin, L. Todjihounde
We prove that the tangent bundle endowed with a g-natural metrics has constant sectional curvature if and only if it is flat, and then we give a characterization of flat g-natural…