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arxiv: 1906.08184 · v2 · pith:YL2FFMTNnew · submitted 2019-06-19 · 🧮 math.DG

A planarity estimate for pinched solutions of mean curvature flow

classification 🧮 math.DG
keywords curvatureflowmeansolutionsblow-upscodimensioncompactcondition
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We show that the blow-ups of compact solutions to the mean curvature flow in $\mathbb{R}^N$ initially satisfying the pinching condition $|A|^2 < c |H|^2$ for a suitable constant $c = c(n)$ must be codimension one.

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