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arXiv · 1803.01399

Ancient Solutions to Curve Shortening with Finite Total Curvature

Sigurd Angenent·Qian You
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Abstract

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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Sigurd Angenent, Qian You. 2018-03-04. Ancient Solutions to Curve Shortening with Finite Total Curvature. https://arxiv.org/abs/1803.01399

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