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Ancient Solutions to Curve Shortening with Finite Total Curvature

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arxiv 1803.01399 v1 pith:EGO6IMGF submitted 2018-03-04 math.DG

classification math.DG
keywords ancientcurvaturecurveshorteningsolutionstotalalongarbitrary
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We construct ancient solutions to Curve Shortening in the plane whose total curvature is uniformly bounded by gluing together an arbitrary chain of given Grim Reapers along their common asymptotes.

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