Topology of billiard problems, II
(2002)
Journal Article
Farber, M. (2002). Topology of billiard problems, II. Duke Mathematical Journal, 115(3), 559-621. https://doi.org/10.1215/s0012-7094-02-11535-x%2C+10.1215/s0012-7094-02-11536-1
Part I. Let T⊂Rm+1T⊂Rm+1 be a strictly convex domain bounded by a smooth hypersurface X=\partialTX=\partialT. In this paper we find lower bounds on the number of billiard trajectories in TT which have a prescribed initial point A∈XA∈X, a prescribed f... Read More about Topology of billiard problems, II.