Surfaces Moving by Powers of Gauss Curvature
نویسندگان
چکیده
منابع مشابه
Flow by Powers of the Gauss Curvature
We prove that convex hypersurfaces in Rn+1 contracting under the flow by any power α > 1 n+2 of the Gauss curvature converge (after rescaling to fixed volume) to a limit which is a smooth, uniformly convex self-similar contracting solution of the flow. Under additional central symmetry of the initial body we prove that the limit is the round sphere.
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2012
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2012.v8.n4.a1