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arXiv · 1304.2627

On the extension to mean curvature flow in lower dimension

Cheng Liang
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Abstract

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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Cheng Liang. 2013-04-09. On the extension to mean curvature flow in lower dimension. https://arxiv.org/abs/1304.2627

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