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arXiv · 1411.3864

Convexity estimates for mean curvature flow with free boundary

Nick Edelen
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Abstract

We prove the convexity estimates of Huisken-Sinestrari for finite-time singularities of mean-convex, mean curvature flow with free boundary in a barrier $S$. Here $S$ can be any properly embedded, oriented surface in $R^{n+1}$ of bounded geometry. We also give an alternative proof that convex mean curvature flows with free boundary in $S^n$ pinch to umbilic.

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Nick Edelen. 2014-11-14. Convexity estimates for mean curvature flow with free boundary. https://arxiv.org/abs/1411.3864

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