The volume and lengths on a three sphere

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dc.creatorCroke, Christopher B.
dc.date2000-03-16
dc.date2001-05-09
dc.date.accessioned2026-07-07T04:34:20Z
dc.date.available2026-07-07T04:34:20Z
dc.descriptionWe show that the volume of any Riemannian metric on a three sphere is bounded below by the length of the shortest closed curve that links its antipodal image. In particular, the volume is bounded below by the minimum of the length of the shortest closed geodesic and the minimal distance between antipodal points.
dc.descriptionThe revision improves the main result and simplifies the proof
dc.identifierhttps://arxiv.org/abs/math/0003102
dc.identifierhttp://arxiv.org/abs/math/0003102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58865
dc.subjectDifferential Geometry
dc.subject53C20 53C22 53C23
dc.titleThe volume and lengths on a three sphere
dc.typetext

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