Geometry & Topology 2 (1998) 117–144

DOI: 10.2140/gt.1998.2.117

arXiv: math.GT/9807189

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.

Keywords

hyperbolic manifold, intersection form, representation variety

Mathematical Subject Classification

Primary: 30F40, 53C23, 57R20

Secondary: 22E40, 32H20, 51M10

References

Forward citations

Publication

Received: 21 December 1996
Revised: 26 March 1998
Accepted: 17 July 1998
Published: 20 July 1998
Proposed: David Gabai
Seconded: Walter Neumann, Wolfgang Metzler

Authors