Topology of billiard problems, II
classification
🧮 math.AT
math.DG
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mathtopologicaladmittingapplyapproachbilliardbilliardsbounds
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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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