Bounds for Minkowski Billiard Trajectories in Convex Bodies
Symplectic Geometry
2012-08-31 v3 Differential Geometry
Abstract
In this paper we use the Ekeland-Hofer-Zehnder symplectic capacity to provide several bounds and inequalities for the length of the shortest periodic billiard trajectory in a smooth convex body in . Our results hold both for classical billiards, as well as for the more general case of Minkowski billiards.
Keywords
Cite
@article{arxiv.1111.2353,
title = {Bounds for Minkowski Billiard Trajectories in Convex Bodies},
author = {Shiri Artstein-Avidan and Yaron Ostrover},
journal= {arXiv preprint arXiv:1111.2353},
year = {2012}
}
Comments
Latex, 26 pages