Variations on the Tait-Kneser theorem

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dc.creatorTabachnikov, Serge
dc.creatorTimorin, Vladlen
dc.date2006-02-14
dc.date2006-02-23
dc.date.accessioned2026-07-07T07:03:26Z
dc.date.available2026-07-07T07:03:26Z
dc.descriptionThe classical Tait-Kneser theorem states that the osculating circles of a smooth plane curve, free from curvature extrema, are pairwise disjoint. We prove a number of analogs of this theorem, e.g., for ovals of osculating cubics, osculating polynomials and trigonometric polynomials; in each case, we will obtain a non-differentiable foliation with smooth leaves.
dc.description14 pages, 6 figures, v2: references added
dc.identifierhttps://arxiv.org/abs/math/0602317
dc.identifierhttp://arxiv.org/abs/math/0602317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108970
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53A20; 51N15
dc.titleVariations on the Tait-Kneser theorem
dc.typetext

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