Periodic trajectories in 3-dimensional convex billiards
Farber, Michael · Tabachnikov, Serge
Original · EN
We give lower bound on the number of periodic billiard trajectories inside a generic smooth strictly convex closed surface in 3-space: for odd n, there are at least 2(n-1) such trajectories. We apply a topological approach based on the calculation of cohomology of certain configuration spaces.
English translation
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