Miles Simon

most citedStability of Euclidean space under Ricci flow

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math.DG2007

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

Miles Simon

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…

math.DG2007★ 1 cited

Stability of Euclidean space under Ricci flow

Oliver C. Schnürer, Felix Schulze, Miles Simon

We study the Ricci flow for initial metrics which are C^0 small perturbations of the Euclidean metric on R^n. In the case that this metric is asymptotically Euclidean, we show that…

math.DG2006

Ricci flow of almost non-negatively curved three manifolds

Miles Simon

In this paper we study the evolution of almost non-negatively curved (possibly singular) three dimensional metric spaces by Ricci flow. The non-negatively curved metric spaces whic…

Local results for flows whose speed or height satisfies a bound of the form tc​

Stability of Euclidean space under Ricci flow

Ricci flow of almost non-negatively curved three manifolds

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