Log gradient estimates for heat type equations on manifolds

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Détails bibliographiques
Auteur principal:	Zhang, Qi S.
Format:	Preprint
Publié:	2024
Sujets:	Differential Geometry 58J35
Accès en ligne:	Acceder al recurso
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_version_	1866909274189332480
author	Zhang, Qi S.
author_facet	Zhang, Qi S.
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2407_20719
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Log gradient estimates for heat type equations on manifolds Zhang, Qi S. Differential Geometry 58J35 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.
title	Log gradient estimates for heat type equations on manifolds
topic	Differential Geometry 58J35
url	https://arxiv.org/abs/2407.20719

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