Topology of billiard problems, I

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dc.creatorFarber, M.
dc.date2000-06-07
dc.date.accessioned2026-07-07T04:35:46Z
dc.date.available2026-07-07T04:35:46Z
dc.descriptionLet $T\subset \R^{m+1}$ be a strictly convex domain bounded by a smooth hypersurface $X=\partial T$. In this paper we find lower bounds on the number of billiard trajectories in $T$ which have a prescribed intial point $A\in X$, a prescribed final point $B\in X$ and make a prescribed number $n$ of reflections at the boundary $X$. We apply a topological approach based on calculation of cohomology rings of certain configuration spaces.
dc.description21 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0006049
dc.identifierhttp://arxiv.org/abs/math/0006049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59365
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject3Dxx, 58Exx
dc.titleTopology of billiard problems, I
dc.typetext

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