Ask a Question

Prefer a chat interface with context about you and your work?

A direct approach to sharp Li-Yau estimates on closed manifolds with negative Ricci lower bound

A direct approach to sharp Li-Yau estimates on closed manifolds with negative Ricci lower bound

Recently, Qi S. Zhang [<italic>A Sharp Li-Yau gradient bound on Compact Manifolds</italic>, https://arxiv.org/2110.08933, 2021] has derived a sharp Li-Yau estimate for positive solutions of the heat equation on closed Riemannian manifolds with the Ricci curvature bounded below by a negative constant. The proof is based on an integral iteration argument …