Log gradient estimates for heat type equations on manifolds

Published 30 Jul 2024 in math.DG | (2407.20719v1)

Abstract: In this short survey paper, we first recall the log gradient estimates for the heat equation on manifolds by Li-Yau, R. Hamilton and later by Perelman in conjunction with the Ricci flow. Then we will discuss some of their applications and extensions focusing on sharp constants and improved curvature conditions.

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Authors (1)

Qi S. Zhang

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