Rotational Symmetry of Asymptotically Conical Mean Curvature Flow\n Self-Expanders

2016/09/07 by Frederick Fong, Fong, Frederick Tsz-Ho, Peter McGrath +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1609.02105

Abstract

In this article, we examine complete, mean-convex self-expanders for the mean\ncurvature flow whose ends have decaying principal curvatures. We prove a\nLiouville-type theorem associated to this class of self-expanders. As an\napplication, we show that mean-convex self-expanders which are asymptotic to\nO(n)-invariant cones are rotationally symmetric.\n

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• Convexity of mean convex asymptotically conical self-expanders to the mean curvature flow

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