English

A Compact Non-convex Ancient Curve Shortening Flow

Differential Geometry 2022-04-13 v1 Analysis of PDEs

Abstract

An example of a compact, non-convex, embedded ancient solution for the curve shortening flow, which is asymptotic to Yin-Yang curve, is constructed.

Cite

@article{arxiv.2204.05978,
  title  = {A Compact Non-convex Ancient Curve Shortening Flow},
  author = {Jumageldi Charyyev},
  journal= {arXiv preprint arXiv:2204.05978},
  year   = {2022}
}

Comments

The same result was obtained independently by Angenent S., Khan I., Olson C., Zhang Y. in arXiv:2204.05253

R2 v1 2026-06-24T10:46:11.995Z