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

By Yi Li. 2014

56 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fb90da39571e0e9d9c45b3940177bf6d0fa20590