Ancient Solutions to Curve Shortening with Finite Total Curvature
Differential Geometry
2018-03-06 v1
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.
Cite
@article{arxiv.1803.01399,
title = {Ancient Solutions to Curve Shortening with Finite Total Curvature},
author = {Sigurd Angenent and Qian You},
journal= {arXiv preprint arXiv:1803.01399},
year = {2018}
}