论文标题
高复合平均曲率与手术
High Codimension Mean Curvature Flow with Surgery
论文作者
论文摘要
我们给出了平均曲率流的存在，并以高度的编式限定为合适的第二个基本形式。作为一个应用程序，我们表明，夹紧的高码构submanifolds与$ \ Mathbb {s}^{n} $或$ \ mathbb {s}^{n-1} \ times \ times \ Mathbb {s}^1 $的有限连接总和。
We give a proof of the existence of the mean curvature flow with surgery in high codimension for suitably pinched second fundamental form. As an application we show that pinched high codimension submanifolds are diffeomorphic to $\mathbb{S}^{n}$ or a finite connected sum of $\mathbb{S}^{n-1}\times \mathbb{S}^1$.
