English

Convex ancient solutions to curve shortening flow

Differential Geometry 2019-03-07 v1

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

Keywords

Cite

@article{arxiv.1903.02022,
  title  = {Convex ancient solutions to curve shortening flow},
  author = {Theodora Bourni and Mat Langford and Giuseppe Tinaglia},
  journal= {arXiv preprint arXiv:1903.02022},
  year   = {2019}
}

Comments

16 pages, 2 figures