Topology of billiard problems, II
Algebraic Topology
2007-05-23 v1 Differential Geometry
Abstract
We give topological lower bounds on the number of periodic and closed trajectories in strictly convex smooth billiards. We use variational reduction admitting a finite group of symmetries and apply topological approach based on equivariant Morse and Lusternik - Schnirelman theories. The paper continues results published in math.DG/9911226 and math.DG/0006049
Keywords
Cite
@article{arxiv.math/0006085,
title = {Topology of billiard problems, II},
author = {Michael Farber},
journal= {arXiv preprint arXiv:math/0006085},
year = {2007}
}
Comments
31 pages, 3 figures