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

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.