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arxiv: 1406.0125 · v1 · pith:JPQSQZASnew · submitted 2014-06-01 · 🧮 math.DG · math.AP

Li-Yau-Hamilton estimates and Bakry-Emery Ricci curvature

classification 🧮 math.DG math.AP
keywords bakry-emerycurvaturericciboundedestimatesriemannianbelowbounds
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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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