On three-periodic trajectories of multi-dimensional dual billiards

Details On three-periodic trajectories of multi-dimensional dual billiards On three-periodic trajectories of multi-dimensional dual billiards

2003-02-20

arxiv.org/abs/math/0302254v2

Algebr. Geom. Topol. 3 (2003) 993-1004

Mathematics

Dynamical Systems

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-33.abs.html

Scientific paper

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.

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