Intersections in hyperbolic manifolds

Details Intersections in hyperbolic manifolds Intersections in hyperbolic manifolds

1998-07-20

arxiv.org/abs/math/9807189v1

Geom. Topol. 2 (1998), 117-144

Mathematics

Geometric Topology

28 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol2/paper7.abs.html

Scientific paper

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.

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