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

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

2011-04-28

arxiv.org/abs/1104.5276v1

Mathematics

Differential Geometry

21 pages

Scientific paper

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.

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