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

TL;DR

This paper extends Bamler-Zhang's Gaussian heat kernel estimates from Ricci flow to super Ricci flows with non-negative Muller quantity, broadening the scope of geometric analysis in evolving manifolds.

Contribution

It generalizes key heat kernel estimates to super Ricci flows, providing new tools for geometric analysis beyond Ricci flow.

Findings

Gaussian heat kernel estimates established for super Ricci flows

Extension of Bamler-Zhang results to broader class of flows

Potential applications in geometric analysis and curvature studies

Abstract

Bamler-Zhang have 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 Muller quantity is non-negative, and obtain Gaussian heat kernel estimates.