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Li-Yau-Hamilton estimates and Bakry-Emery Ricci curvature
Published 1 Jun 2014 in math.DG and math.AP | (1406.0125v1)
Abstract: In this paper we derive Cheng-Yau, Li-Yau, Hamilton estimates for Riemannian manifolds with Bakry-Emery Ricci curvature bounded from below, and also global and local upper bounds, in terms of Bakry-Emery Ricci curvature, for the Hessian of positive and bounded solutions of the weighted heat equation on a closed Riemannian manifold.
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