On the extension to mean curvature flow in lower dimension

Cheng Liang

On the extension to mean curvature flow in lower dimension

Differential Geometry 2014-01-07 v2

Authors: Cheng Liang

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 $T$ .

Keywords

mean curvature flow F-stable solution low dimension smooth extension closed embedded manifold

Cite

@article{arxiv.1304.2627,
  title  = {On the extension to mean curvature flow in lower dimension},
  author = {Cheng Liang},
  journal= {arXiv preprint arXiv:1304.2627},
  year   = {2014}
}

Comments

6 pages, an error is corrected

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