Properties of parallelotopes equivalent to Voronoi's conjecture

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dc.creatorDeza, Michel
dc.creatorGrishukhin, Viacheslav
dc.date2003-07-11
dc.date.accessioned2026-07-07T04:59:37Z
dc.date.available2026-07-07T04:59:37Z
dc.descriptionA parallelotope is a polytope whose translation copies fill space without gaps and intersections by interior points. Voronoi conjectured that each parallelotope is an affine image of the Dirichlet domain of a lattice, which is a Voronoi polytope. We give several properties of a parallelotope and prove that each of them is equivalent to it is an affine image of a Voronoi polytope.
dc.description18 pages (submitted)
dc.identifierhttps://arxiv.org/abs/math/0307170
dc.identifierhttp://arxiv.org/abs/math/0307170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68059
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.titleProperties of parallelotopes equivalent to Voronoi's conjecture
dc.typetext

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