On three-periodic trajectories of multi-dimensional dual billiards
Dynamical Systems
2014-10-01 v2 Symplectic Geometry
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
Cite
@article{arxiv.math/0302254,
title = {On three-periodic trajectories of multi-dimensional dual billiards},
author = {Serge Tabachnikov},
journal= {arXiv preprint arXiv:math/0302254},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-33.abs.html