论文标题
$ so(2)$对称平均曲率流的孤子的对称性,$ \ mathbb {r}^4 $
$SO(2)$ symmetry of the translating solitons of the mean curvature flow in $\mathbb{R}^4$
论文作者
论文摘要
在本文中,我们证明了$ \ mathbb {r}^4 $中平均曲率流的翻译孤子,这是作为嵌入式,平均凸平均平均曲率流的爆炸极限所产生的,必须具有$ SO(2)$对称性。
In this paper, we prove that the translating solitons of the mean curvature flow in $\mathbb{R}^4$ which arise as blow up limit of embedded, mean convex mean curvature flow must have $SO(2)$ symmetry.