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On the extension to mean curvature flow in lower dimension

Published 9 Apr 2013 in math.DG | (1304.2627v2)

Abstract: In this paper, we prove that if Mt⊂R<sup>n+1M_t\subset \mathbb{R}<sup>{n+1}, 2≤n≤62\leq n\leq 6, is the nn-dimensional closed embedded F−\mathcal{F}-stable solution to mean curvature flow with mean curvature of MtM_t is uniformly bounded on [0,T)[0,T) for $T&lt;\infty$, then the flow can be smoothly extended over time TT.

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