GAUSSIAN HEAT KERNEL ESTIMATES OF BAMLER-ZHANG TYPE ALONG SUPER RICCI FLOW

被引：0

作者：

Kunikawa, Keita

Sakurai, Yohei ^{[1
,2
]}

机构：

[1] Tokushima Univ, Dept Math Sci, Tokushima 7708506, Japan

[2] Saitama Univ, Dept Math, Saitama 3388570, Japan

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2025年 / 24卷 / 07期

关键词：

Super Ricci flow; M & uuml; ller quantity; distance distortion estimate; cutoff function; mean value inequality; Gaussian heat kernel estimate; LOGARITHMIC SOBOLEV; INEQUALITIES; CURVATURE; ENTROPY; VOLUME; THEOREM; BOUNDS; SPACE;

D O I：

10.3934/cpaa.2025030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bamler-Zhang developed geometric analysis on Ricci flow with scalar curvature bound. The aim of this paper is to extend their work to various geometric flows. We generalize some of their results to super Ricci flow whose M & uuml;ller quantity is non-negative, and obtain Gaussian heat kernel estimates.

引用

页码：1156 / 1178

页数：23

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[2]

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[3]

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