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A canonical neighborhood theorem for the mean curvature flow in higher codimension (2004.08060v3)

Published 17 Apr 2020 in math.DG

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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