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arXiv · 2407.20719

Log gradient estimates for heat type equations on manifolds

Qi S. Zhang
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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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Qi S. Zhang. 2024-07-30. Log gradient estimates for heat type equations on manifolds. https://arxiv.org/abs/2407.20719

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