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arXiv · 1104.5276

Bochner-Weitzenb\"ock formula and Li-Yau estimates on Finsler manifolds

Shin-ichi Ohta·Karl-Theodor Sturm
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Abstract

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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BibTeXRIS

Shin-ichi Ohta, Karl-Theodor Sturm. 2011-04-28. Bochner-Weitzenb\"ock formula and Li-Yau estimates on Finsler manifolds. https://arxiv.org/abs/1104.5276

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