Geodesic
On three-periodic trajectories of multi-dimensional dual billiards
Tabachnikov, Serge1
1Department of Mathematics, Pennsylvania State University, University Park PA 16802, USA
Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 993-1004
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We consider the dual billiard map with respect to a smooth strictly convex closed hypersurface in linear 2m–dimensional symplectic space and prove that it has at least 2m distinct 3–periodic orbits.

DOI : 10.2140/agt.2003.3.993
Keywords: dual billiards, symplectic relation, periodic orbits, Morse, Lusternik–Schnirelman theory

Tabachnikov, Serge  1

1 Department of Mathematics, Pennsylvania State University, University Park PA 16802, USA 
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Tabachnikov, Serge. On three-periodic trajectories of multi-dimensional dual billiards. Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 993-1004. doi: 10.2140/agt.2003.3.993

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