Topology of billiard problems, II

Details Topology of billiard problems, II Topology of billiard problems, II

2000-06-12

arxiv.org/abs/math/0006085v1

Mathematics

Algebraic Topology

31 pages, 3 figures

Scientific paper

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

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