Rotational symmetry of uniformly 3-convex translating solitons of mean curvature flow in higher dimensions

Abstract

In this paper, we generalize a previous result to higher dimension. We prove that uniformly 3-convex translating solitons of mean curvature flow in ${\mathbb{R}}^{n+1}$ which arise as blow up limit of embedded, mean convex mean curvature flow must have $SO(n-1)$ symmetry.

arXiv admin note: substantial text overlap with arXiv:2012.09319

Cited by in corpus (1)

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