English

On polynomially integrable planar outer billiards and curves with symmetry property

Dynamical Systems 2018-06-22 v3 Algebraic Geometry

Abstract

We show that every polynomially integrable planar outer convex billiard is elliptic.

Keywords

Cite

@article{arxiv.1607.07593,
  title  = {On polynomially integrable planar outer billiards and curves with symmetry property},
  author = {Alexey Glutsyuk and Eugenii Shustin},
  journal= {arXiv preprint arXiv:1607.07593},
  year   = {2018}
}

Comments

To appear in Mathematische Annalen. 26 pages. Minor improvement of presentation