On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards

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dc.creatorGenin, D.
dc.creatorTabachnikov, S.
dc.date2006-04-18
dc.date.accessioned2026-07-07T07:11:01Z
dc.date.available2026-07-07T07:11:01Z
dc.descriptionFollowing a recent paper by Baryshnikov and Zharnitskii, we consider outer billiards in the plane possessing invariant curves consisting of periodic orbits. We prove the existence and abundance of such tables using tools from sub-Riemannian geometry. We also prove that the set of 3-periodic outer billiard orbits has zero measure.
dc.identifierhttps://arxiv.org/abs/math/0604388
dc.identifierhttp://arxiv.org/abs/math/0604388
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111605
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.titleOn configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards
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