On polynomially integrable planar outer billiards and curves with symmetry property

@article{Glutsyuk2016OnPI,
  title={On polynomially integrable planar outer billiards and curves with symmetry property},
  author={A. A. Glutsyuk and Eugenii Shustin},
  journal={Mathematische Annalen},
  year={2016},
  volume={372},
  pages={1481-1501}
}
We show that every polynomially integrable planar outer convex billiard is elliptic. We also prove an extension of this statement to non-convex billiards. 
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On polynomially integrable Birkhoff billiards on surfaces of constant curvature

  • A. Glutsyuk
  • Mathematics
    Journal of the European Mathematical Society
  • 2020
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