Large Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds

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dc.creatorHindawi, Mohamad A.
dc.date2004-12-13
dc.date2005-06-13
dc.date.accessioned2026-07-07T05:15:16Z
dc.date.available2026-07-07T05:15:16Z
dc.descriptionWe study the asymptotic cones of the universal covering spaces of closed 4-dimensional nonpositively curved real analytic manifolds. We show that the existence of nonstandard components in the Tits boundary, discovered by Christoph Hummel and Victor Schroeder, depends only on the quasi-isometry type of the fundamental group.
dc.description13 pages; Minor changes. To appear in International Mathematics Research Notices (IMRN)
dc.identifierhttps://arxiv.org/abs/math/0412258
dc.identifierhttp://arxiv.org/abs/math/0412258
dc.identifierInternational Mathematics Research Notices 2005, no. 30, 1803--1815
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73573
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subject53C20 (Primary); 20F67, 20F69 (Secondary)
dc.titleLarge Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds
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