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Rotational Symmetry of Asymptotically Conical Mean Curvature Flow Self-Expanders (1609.02105v1)
Published 7 Sep 2016 in math.DG and math.AP
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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