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On
three-periodic trajectories of multi-dimensional dual
billiards
Serge Tabachnikov |
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Algebraic & Geometric Topology 3 (2003) 993–1004
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arXiv: math.DS/0302254 |
Abstract |
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We consider the dual billiard map with respect to a smooth strictly convex closed hypersurface in linear –dimensional symplectic space and prove that it has at least distinct 3–periodic orbits. |
Keywords
dual billiards, symplectic relation, periodic orbits,
Morse, Lusternik–Schnirelman theory
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Mathematical Subject Classification 2000
Primary: 37J45, 70H12
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References |
Forward citations |
Publication
Received: 21 2003
Accepted: 23 September 2003
Published: 5 October 2003
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Authors |
| Serge Tabachnikov | |
| Department of Mathematics Pennsylvania State University University Park PA 16802 USA |
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| http://www.math.psu.edu/tabachni/ | |
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