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arXiv · 2004.08060

A canonical neighborhood theorem for the mean curvature flow in higher codimension

Keaton Naff
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Abstract

In dimensions $n \geq 5$, we prove a canonical neighborhood theorem for the mean curvature flow of compact $n$-dimensional submanifolds in $\mathbb{R}^N$ satisfying a pinching condition $|A|^2 < c|H|^2$ for $c = \min \{ \frac{3(n+1)}{2n(n+2)},\frac{1}{n-2}\}.$

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Keaton Naff. 2020-04-17. A canonical neighborhood theorem for the mean curvature flow in higher codimension. https://arxiv.org/abs/2004.08060

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