$SO(2)$ symmetry of the translating solitons of the mean curvature flow in ${\mathbb{R}}^4$

Abstract

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.

arXiv commentRevised version, appeared in Annals of PDE