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arXiv · 0708.0255

On algebraically integrable outer billiards

S. Tabachnikov
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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.

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S. Tabachnikov. 2007-08-02. On algebraically integrable outer billiards. https://arxiv.org/abs/0708.0255

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