Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow

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 Müller quantity is non-negative, and obtain Gaussian heat kernel estimates.

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Publication Details

Journal
Communications on Pure &amp Applied Analysis
Published
2025-01-01
DOI
https://doi.org/10.3934/cpaa.2025030
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow

Keita Kunikawa, Yohei Sakurai
Communications on Pure &amp Applied Analysis
Geometric Analysis and Curvature Flows
article

Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow

Keita Kunikawa, Yohei Sakurai
article en

Abstract

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 Müller quantity is non-negative, and obtain Gaussian heat kernel estimates.

Communications on Pure &amp Applied AnalysisVol. 24(7)
Saitama University (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 93%
Geometric Analysis and Curvature Flows
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Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow — Keita Kunikawa, Yohei Sakurai · Communications on Pure &amp Applied Analysis (2025) | TGRS Research Map | TGRS