On algebraically integrable outer billiards
Dynamical Systems
2007-08-03 v1 Algebraic Geometry
Abstract
We prove that if the outer billiard map around a plane oval is algebraically integrable in a certain non-degenerate sense then the oval is an ellipse.
Keywords
Cite
@article{arxiv.0708.0255,
title = {On algebraically integrable outer billiards},
author = {S. Tabachnikov},
journal= {arXiv preprint arXiv:0708.0255},
year = {2007}
}