Almost splitting and quantitative stratification for super Ricci flow

2023/09/21 by Kunikawa, Keita, Sakurai, Yohei
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.11882

Abstract

The aim of this paper is to study almost rigidity properties of super Ricci flow whose Muller quantity is non-negative. We conclude almost splitting and quantitative stratification theorems that have been established by Bamler for Ricci flow. As a byproduct, we obtain an almost constancy for a certain integral quantity concerning scalar curvature at an almost selfsimilar point, which is new even for Ricci flow.

Related

• Splitting maps in Type I Ricci flows
• Regularity theory for Type I Ricci flows
• The Ricci flow under almost non-negative curvature conditions
• Almost-rigidity and the extinction time of positively curved Ricci flows
• On the conditions to extend Ricci flow(III)