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arxiv: 0708.0255 · v1 · submitted 2007-08-02 · 🧮 math.DS · math.AG

On algebraically integrable outer billiards

classification 🧮 math.DS math.AG
keywords algebraicallyintegrableouterovalaroundbilliardbilliardscertain
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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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