论文标题
平均曲率流的规范定理，以较高的consimension中的平均曲率流
A canonical neighborhood theorem for the mean curvature flow in higher codimension
论文作者
论文摘要
在尺寸$ n \ geq 5 $中，我们证明了一个规范的邻域定理，用于$ \ mathbb {r}^n $ in $ \ mathbb {r}^n $满足pinching条件$ | \ frac {3（n+1）} {2n（n+2）}，\ frac {1} {n-2} \} \}。$
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 $c = \min \{ \frac{3(n+1)}{2n(n+2)},\frac{1}{n-2}\}.$
