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• W2950358082 abstract "We give lowed bounds on the number of periodic trajectories in strictly convex smooth billiards in $R^{m+1}$ for $mge 3$. For plane billiards (when m=1) such bounds were obtained by G. Birkhoff in the 1920's. Our proof is based on topological methods of calculus of variations - equivariant Morse and Lusternik - Schirelman theories. We compute the equivariant cohomology ring of the cyclic configuration space of the sphere $S^m$, i.e., the space of n-tuples of points $(x_1, ..., x_n)$, where $x_iin S^m$ and $x_ine x_{i+1}$ for i=1,2, ..., n." @default.
• W2950358082 created "2019-06-27" @default.
• W2950358082 creator A5036975533 @default.
• W2950358082 creator A5053891463 @default.
• W2950358082 date "1999-11-28" @default.
• W2950358082 modified "2023-09-27" @default.
• W2950358082 title "Topology of cyclic configuration spaces and periodic trajectories of multi-dimensional billiards" @default.
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