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Topology of billiard problems, II

Michael Farber
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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

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Michael Farber. 2000-06-12. Topology of billiard problems, II. https://arxiv.org/abs/math/0006085

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