Serge Tabachnikov
Abstract
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We prove that if the outer billiard map around a plane oval is algebraically integrable in a certain nondegenerate sense then the oval is an ellipse.Theorem 1. C is an ellipse.
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We prove that if the outer billiard map around a plane oval is algebraically integrable in a certain nondegenerate sense then the oval is an ellipse.Theorem 1. C is an ellipse.
Key concepts: Integrable system, Mathematics, Pure mathematics, Algebraically closed field, Mathematical physics