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arxiv: 1803.01399 · v1 · pith:EGO6IMGFnew · submitted 2018-03-04 · 🧮 math.DG

Ancient Solutions to Curve Shortening with Finite Total Curvature

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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