On S.L. Tabachnikov's conjecture

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dc.creatorNazarov, A. I.
dc.creatorPetrov, F. V.
dc.date2005-07-19
dc.date.accessioned2026-07-07T05:21:49Z
dc.date.available2026-07-07T05:21:49Z
dc.descriptionS. L. Tabachnikov's conjecture is proved: for any closed curve $Γ$ lying inside convex closed curve $Γ_1$ the mean absolute curvature $T(Γ)$ exceeds $T(Γ_1)$ if $Γ\ne kΓ_1$. An inequality $T(Γ)\ge T(Γ_1)$ is proved for curves in a hemisphere.
dc.identifierhttps://arxiv.org/abs/math/0507379
dc.identifierhttp://arxiv.org/abs/math/0507379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75831
dc.subjectMetric Geometry
dc.subject52A38, Secondary: 52A40
dc.titleOn S.L. Tabachnikov's conjecture
dc.typetext

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