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On algebraically
integrable outer billiards
Serge Tabachnikov |
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Vol. 235 (2008), No. 1, 89–92
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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. |
Keywords
outer billiards, dual billiards, integrability, Birkhoff
conjecture
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Mathematical Subject Classification 2000
Primary: 37J30
Secondary: 37E40
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Milestones
Received: 1 August 2007
Revised: 24 August 2007
Accepted: 27 August 2007
Published: 1 March 2008
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Authors |
| Serge Tabachnikov | |
| Department of Mathematics Pennsylvania State University University Park, PA 16802 United States |
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| www.math.psu.edu/tabachni/ | |
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