Mean curvature flow with surgery of mean convex surfaces in $\mathbb{R}^3$

S. Brendle; G. Huisken

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arXiv · 1309.1461

Mean curvature flow with surgery of mean convex surfaces in $\mathbb{R}^3$

S. Brendle·G. Huisken

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Abstract

We define a notion of mean curvature flow with surgery for two-dimensional surfaces in $\mathbb{R}^3$ with positive mean curvature. Our construction relies on the earlier work of Huisken and Sinestrari in the higher dimensional case. One of the main ingredients in the proof is a new estimate for the inscribed radius established by the first author.

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BibTeX RIS

S. Brendle, G. Huisken. 2015-08-29. Mean curvature flow with surgery of mean convex surfaces in $\mathbb{R}^3$. https://arxiv.org/abs/1309.1461

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