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arxiv: 1304.2627 · v2 · pith:4JBX55DCnew · submitted 2013-04-09 · 🧮 math.DG

On the extension to mean curvature flow in lower dimension

classification 🧮 math.DG
keywords curvatureflowmeanboundedcloseddimensiondimensionalembedded
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In this paper, we prove that if $M_t\subset \mathbb{R}^{n+1}$, $2\leq n\leq 6$, is the $n$-dimensional closed embedded $\mathcal{F}-$stable solution to mean curvature flow with mean curvature of $M_t$ is uniformly bounded on $[0,T)$ for $T<\infty$, then the flow can be smoothly extended over time $T$.

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