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arXiv · 1705.03219

A finiteness theorem via the mean curvature flow with surgery

Alexander Mramor
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Abstract

In this article, we use the recently developed mean curvature flow with surgery for 2 convex hypersurfaces to prove several isotopy existence and finally extrinsic finiteness results (in the spirit of Cheeger's compactness theorem) for the space of 2 convex hypersurfaces in $\mathbb{R}^{n+1}$.

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Alexander Mramor. 2017-05-09. A finiteness theorem via the mean curvature flow with surgery. https://arxiv.org/abs/1705.03219

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