English

Centro-affine normal flows on curves: Harnack estimates and Ancient solutions

Differential Geometry 2025-06-30 v4

Abstract

We prove that the only compact, origin-symmetric, strictly convex ancient solutions of the planar pp centro-affine normal flows are contracting origin-centered ellipses.

Cite

@article{arxiv.1211.2346,
  title  = {Centro-affine normal flows on curves: Harnack estimates and Ancient solutions},
  author = {Mohammad N. Ivaki},
  journal= {arXiv preprint arXiv:1211.2346},
  year   = {2025}
}

Comments

I changed the title and fixed some typos. To appear in Annales de l'Institut Henri Poincar\'e (C) Analyse Non Lin\'eaire

R2 v1 2026-06-21T22:36:10.708Z