English

Intersections in hyperbolic manifolds

Geometric Topology 2014-11-11 v1

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 greater than 2, only finitely many hyperbolic n-manifolds are total spaces of orientable vector bundles over M.

Keywords

Cite

@article{arxiv.math/9807189,
  title  = {Intersections in hyperbolic manifolds},
  author = {Igor Belegradek},
  journal= {arXiv preprint arXiv:math/9807189},
  year   = {2014}
}

Comments

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