Convex ancient solutions to curve shortening flow

2019/03/05 by Bourni, Theodora, Langford, Mat, Tinaglia, Giuseppe · 1 citation
#35K55 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.02022

Abstract

We show that the only convex ancient solutions to curve shortening flow are the stationary lines, shrinking circles, Grim Reapers and Angenent ovals, completing the classification initiated by Daskalopoulos, Hamilton and Sesum and X.-J. Wang

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• Ancient Gauss Curvature Flows of Bounded Width

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