The Three Gap Theorem and Riemannian Geometry

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dc.creatorBiringer, Ian
dc.creatorSchmidt, Benjamin
dc.date2008-03-08
dc.date.accessioned2026-07-07T09:25:51Z
dc.date.available2026-07-07T09:25:51Z
dc.descriptionThe classical Three Gap Theorem asserts that for a natural number n and a real number p, there are at most three distinct distances between consecutive elements in the subset of [0,1) consisting of the reductions modulo 1 of the first n multiples of p. Regarding it as a statement about rotations of the circle, we find results in a similar spirit pertaining to isometries of compact Riemannian manifolds and the distribution of points along their geodesics.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0803.1250
dc.identifierhttp://arxiv.org/abs/0803.1250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156549
dc.subjectDifferential Geometry
dc.subject53C22
dc.titleThe Three Gap Theorem and Riemannian Geometry
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