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

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We 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.
13 pages; Minor changes. To appear in International Mathematics Research Notices (IMRN)

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Metric Geometry, Differential Geometry, 53C20 (Primary); 20F67, 20F69 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73573

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412258
 http://arxiv.org/abs/math/0412258
 International Mathematics Research Notices 2005, no. 30, 1803--1815

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arXiv