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arXiv:math/9807189 [math.GT]AbstractReferencesReviewsResources

Intersections in hyperbolic manifolds

Igor Belegradek

Published 1998-07-20Version 1

We obtain some restrictions on the topology of infinite volume hyperbolic manifolds. In particular, for any n and any closed negatively curved manifold M of dimension greater than 2, only finitely many hyperbolic n-manifolds are total spaces of orientable vector bundles over M.

Comments: 28 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol2/paper7.abs.html
Journal: Geom. Topol. 2 (1998), 117-144
Categories: math.GT
Subjects: 30F40, 53C23, 57R20, 22E40, 32H20, 51M10
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