Quasiflats with holes in reductive groups

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dc.creatorWortman, Kevin
dc.date2004-01-26
dc.date2009-02-26
dc.date.accessioned2026-07-07T12:46:49Z
dc.date.available2026-07-07T12:46:49Z
dc.descriptionWe give a new proof of a theorem of Kleiner-Leeb: that any quasi-isometrically embedded Euclidean space in a product of symmetric spaces and Euclidean buildings is contained in a metric neighborhood of finitely many flats, as long as the rank of the Euclidean space is not less than the rank of the target. A bound on the size of the neighborhood and on the number of flats is determined by the size of the quasi-isometry constants. Without using asymptotic cones, our proof focuses on the intrinsic geometry of symmetric spaces and Euclidean buildings by extending the proof of Eskin-Farb's quasiflat with holes theorem for symmetric spaces with no Euclidean factors.
dc.descriptionThis is the version published by Algebraic & Geometric Topology on 24 February 2006
dc.identifierhttps://arxiv.org/abs/math/0401360
dc.identifierhttp://arxiv.org/abs/math/0401360
dc.identifierAlgebr. Geom. Topol. 6 (2006) 91-117
dc.identifierdoi:10.2140/agt.2006.6.91
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221513
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject20F65, 20G30, 22E40
dc.titleQuasiflats with holes in reductive groups
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