Rotational symmetry of asymptotically conical mean curvature flow self-expanders
نویسندگان
چکیده
منابع مشابه
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
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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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2019
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2019.v27.n3.a3