Periodic trajectories in 3-dimensional convex billiards

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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.
8 pages

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Differential Geometry, Algebraic Topology, 3Dxx, 58Exx

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http://salesiana.dossiersoluciones.com/handle/123456789/61607

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106049
 http://arxiv.org/abs/math/0106049

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arXiv