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arXiv · 1609.02105

Rotational Symmetry of Asymptotically Conical Mean Curvature Flow Self-Expanders

Frederick Tsz-Ho Fong·Peter McGrath
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Abstract

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

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BibTeXRIS

Frederick Tsz-Ho Fong, Peter McGrath. 2016-09-07. Rotational Symmetry of Asymptotically Conical Mean Curvature Flow Self-Expanders. https://arxiv.org/abs/1609.02105

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