On the lower bounds for the number of periodic billiard trajectories in manifolds embedded in Euclidean space
Abstract
In this paper the problem of estimating the number of periodical billiard trajectories is considered. The main result is the theorem on Morse theory for periodical billiard trajectories.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2001
 arXiv:
 arXiv:math/0112178
 Bibcode:
 2001math.....12178D
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Differential Geometry;
 5502
 EPrint:
 M.S. thesis. 13 pages, 1 figure