Bochner-Weitzenb\"ock formula and Li-Yau estimates on Finsler manifolds
  We prove the Bochner-Weitzenb\"ock 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. 
Shin-ichi Ohta, Karl-Theodor Sturm
math.DG math.AP