2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132532In 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.This paper is chapter 7 of the author's Habilitation Thesis:"Ricci flow of almost non-negatively curved three manifolds", Nov. 2006, University of Freiburg, GermanyDifferential GeometryLocal results for flows whose speed or height satisfies a bound of the form $\frac c t$text