Local results for flows whose speed or height satisfies a bound of the form $\frac c t$

TL;DR

This paper establishes local results for Ricci flow solutions with speed or height bounded by c/t, providing insights into their behavior over specific time intervals.

Contribution

It proves local properties of Ricci flow solutions under a c/t bound, extending understanding of their short-term behavior.

Findings

Local bounds for Ricci flow solutions with c/t speed

Insights into solution regularity and behavior

Extension of previous results to new bounds

Abstract

In this paper we prove local results for solutions to the Ricci flow (heat flow) whose speed (height) is bounded by $\frac c t$ for some time interval $ t \in (0,T)$. These results are contained in chapter 7 of the author's habilitation thesis, University of Freiburg, Germany, 2006.