English

A distance comparison principle for curve flows with a global forcing term

Differential Geometry 2022-05-27 v1

Abstract

We consider closed, embedded, smooth curves in the plane and study their behaviour under curve flows with a global forcing term. We prove an analogue to Huisken's distance comparison principle for curve shortening flow for initial curves whose local total curvature does not lie below -pi and arbitrary global forcing terms.

Keywords

Cite

@article{arxiv.2205.13466,
  title  = {A distance comparison principle for curve flows with a global forcing term},
  author = {Friederike Dittberner},
  journal= {arXiv preprint arXiv:2205.13466},
  year   = {2022}
}

Comments

5 pages

R2 v1 2026-06-24T11:29:49.583Z