Classification of compact convex ancient solutions of the planar affine normal flow

2014/11/19 by Mohammad N. Ivaki, Ivaki, Mohammad N. · 1 citation
Mathematics · #52A10 #53A04 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C44 #Secondary 53A15 #math.DG #msc:52A10 #msc:53A04 #msc:53A15 #msc:53C44

paper · pdf · doi:10.48550/arxiv.1411.5270

J. Geom. Anal. (to appear)

arxiv created 2014/11/19 · arxiv updated 2014/11/20

Abstract

We prove that the only compact convex ancient solutions of the planar affine normal flow are contracting ellipses.

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• Ancient Gauss Curvature Flows of Bounded Width

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