Bochner-Weitzenboeck formula and Li-Yau estimates on Finsler manifolds

Published 5 May 2011 in math.AP | (1105.0983v2)

Abstract: We prove the Bochner-Weitzenboeck formula for the (nonlinear) Laplacian on general Finsler manifolds and derive Li-Yau type gradient estimates as well as parabolic Harnack inequalities. Moreover, we deduce Bakry-Emery gradient estimates. All these estimates depend on lower bounds for the weighted flag Ricci tensor.

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