Periodic trajectories in 3-dimensional convex billiards

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dc.creatorFarber, Michael
dc.creatorTabachnikov, Serge
dc.date2001-06-07
dc.date.accessioned2026-07-07T04:42:02Z
dc.date.available2026-07-07T04:42:02Z
dc.descriptionWe 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0106049
dc.identifierhttp://arxiv.org/abs/math/0106049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61607
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject3Dxx, 58Exx
dc.titlePeriodic trajectories in 3-dimensional convex billiards
dc.typetext

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