#### Volume 3, issue 2 (2003)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
On three-periodic trajectories of multi-dimensional dual billiards

### Serge Tabachnikov

Algebraic & Geometric Topology 3 (2003) 993–1004
 arXiv: math.DS/0302254
##### Abstract

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.

##### Keywords
dual billiards, symplectic relation, periodic orbits, Morse, Lusternik–Schnirelman theory
##### Mathematical Subject Classification 2000
Primary: 37J45, 70H12
##### Publication
Accepted: 23 September 2003
Published: 5 October 2003
##### Authors
 Serge Tabachnikov Department of Mathematics Pennsylvania State University University Park PA 16802 USA http://www.math.psu.edu/tabachni/