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3) "Differential Harnack estimates for heat equation under Finsler­ Ricci flow", Pacific Journal of Mathematics 278, no. 2, 447–462 (2015)

We prove first order differential Harnack estimates for positive solutions of the heat equation (in the sense of distributions) under closed Finsler–Ricci flows. We assume suitable Ricci curvature bounds throughout the flow and also assume that the S-curvature vanishes along the flow. One of the key tools we use is the Bochner identity for Finsler structures proved by Ohta and Sturm (Adv. Math. 252 (2014), 429–448).

Journal Papers
Month/Season: 
Winter
Year: 
2015

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