Intersections in hyperbolic manifolds

Belegradek, Igor¹

¹ Department of Mathematics and Statistics, McMaster University, 1280 Main St West, Hamilton, Ontario, L8S 4K1, Canada

Geometry & topology, Tome 2 (1998) no. 1, pp. 117-144.

Résumé

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

Détail

DOI : 10.2140/gt.1998.2.117

Keywords: hyperbolic manifold, intersection form, representation variety

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