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

Abstract

We prove the Bochner-Weitzenböck 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-Émery gradient estimates. All these estimates depend on lower bounds for the weighted flag Ricci tensor.

arXiv comment21 pages; minor corrections, to appear in Adv. Math