ar X iv : 1 60 9 . 02 10 5 v 1 [ m at h . D G ] 7 S ep 2 01 6 ROTATIONAL SYMMETRY OF ASYMPTOTICALLY CONICAL MEAN CURVATURE FLOW SELF - EXPANDERS
نویسنده
چکیده
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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تاریخ انتشار 2016