Abstract
In this paper, we prove local results for solutions to the Ricci flow (heat flow) whose speed (height) is bounded by c/t for some time interval t ∈ (0, T). These results are contained in Chapter 7 of of [16, Simon, “Ricci flow of almost-non-negatively curved three manifolds,” 2006]. In [17, Simon,“Ricci flow of almost-non-negatively curved three manifolds,”] further results from [16] may be found. In particular, there we construct short time solutions to Ricci flow for a class of compact Riemannian manifolds with isolated conelike singularities. The resulting solutions satisfy a bound of this form (the speed is bounded by for some time interval t ∈ (0, T)).
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