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

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.

Administratively withdrawn: duplicate of 1105.0983

References in corpus (1)

• Non-contraction of heat flow on Minkowski spaces

Cited by in corpus (12)

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• Comparison theorems for conjugate points in sub-Riemannian geometry
• Dimensional contraction via Markov transportation distance
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• An optimal anisotropic Poincaré inequality for convex domains
• Non-contraction of heat flow on Minkowski spaces
• $(K,N)$-convexity and the curvature-dimension condition for negative $N$
• Displacement convexity of generalized relative entropies
• Local gradient estimate for harmonic functions on Finsler manifolds
• A sharp lower bound for the first eigenvalue on Finsler manifolds
• Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications
• Weighted Ricci curvature estimates for Hilbert and Funk geometries