Separated nets in Euclidean space and Jacobians of biLipschitz maps

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dc.creatorBurago, Dmitri
dc.creatorKleiner, Bruce
dc.date1997-03-30
dc.date.accessioned2026-07-07T09:13:03Z
dc.date.available2026-07-07T09:13:03Z
dc.descriptionWe show that there are separated nets in the Euclidean plane which are not biLipschitz equivalent to the integer lattice. The argument is based on the construction of a continuous function which is not the Jacobian of a biLipschitz map.
dc.descriptionLaTeX2e file, 6 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9703022
dc.identifierhttp://arxiv.org/abs/dg-ga/9703022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152230
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subjectPrimary 20F32, Secondary 53C99, 26B35
dc.titleSeparated nets in Euclidean space and Jacobians of biLipschitz maps
dc.typetext

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