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

2021/03/30 by Jingze Zhu, Zhu, Jingze · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2103.16382

openalex publication_date 2021/03/30 · openalex created_date 2021/04/13 · openalex updated_date 2026/07/28

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 ℝⁿ⁺¹ which arise as blow up limit of embedded, mean convex mean curvature flow must have SO(n-1) symmetry.

Cited by

• The blowdown of ancient noncollapsed mean curvature flows

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