Bounds for Minkowski Billiard Trajectories in Convex Bodies
arXiv:1111.2353
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.
Latex, 26 pages