## Geometry & Topology

### Intersections in hyperbolic manifolds

#### Abstract

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 $≥3$, only finitely many hyperbolic $n$–manifolds are total spaces of orientable vector bundles over $M$.

#### Article information

Source
Geom. Topol., Volume 2, Number 1 (1998), 117-144.

Dates
Revised: 26 March 1998
Accepted: 17 July 1998
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.gt/1513882905

Digital Object Identifier
doi:10.2140/gt.1998.2.117

Mathematical Reviews number (MathSciNet)
MR1633286

Zentralblatt MATH identifier
0931.57009

#### Citation

Belegradek, Igor. Intersections in hyperbolic manifolds. Geom. Topol. 2 (1998), no. 1, 117--144. doi:10.2140/gt.1998.2.117. https://projecteuclid.org/euclid.gt/1513882905

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