Introducing projective billiards

@inproceedings{Tabachnikov1997IntroducingPB,
  title={Introducing projective billiards},
  author={Serge Tabachnikov},
  year={1997}
}
We introduce and study a new class of dynamical systems, the projective billiards, associated with a smooth closed convex plane curve equipped with a smooth field of transverse directions. Projective billiards include the usual billiards along with the dual, or outer, billiards. 

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Billiards and Toy Gravitons

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Open problems, questions and challenges in finite- dimensional integrable systems.

  • Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
  • 2018
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References

Publications referenced by this paper.

Parametrized curves , Minkowski caustics , Minkowski vertices and conservative line fields Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space

S. Tabachnikov.
  • L ’ Enseign . Math .
  • 1993