Geodesics on an ellipsoid in Minkowski space

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dc.creatorGenin, D.
dc.creatorKhesin, B.
dc.creatorTabachnikov, S.
dc.date2007-05-01
dc.date.accessioned2026-07-07T07:59:04Z
dc.date.available2026-07-07T07:59:04Z
dc.descriptionWe describe the geometry of geodesics on a Lorentz ellipsoid: give explicit formulas for the first integrals (pseudo-confocal coordinates), curvature, geodesically equivalent Riemannian metric, the invariant area-forms on the time- and space-like geodesics and invariant 1-form on the space of null geodesics. We prove a Poncelet-type theorem for null geodesics on the ellipsoid: if such a geodesic close up after several oscillations in the "pseudo-Riemannian belt", so do all other null geodesics on this ellipsoid.
dc.identifierhttps://arxiv.org/abs/0705.0188
dc.identifierhttp://arxiv.org/abs/0705.0188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128231
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.titleGeodesics on an ellipsoid in Minkowski space
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