Constructing Hyperbolic Manifolds

Abstract

In this paper we show how to obtain representations of Coxeter groups acting on H^n to certain classical groups. We determine when the kernel of such a representation is torsion-free and thus the quotient a hyperbolic n-manifold.

8 pages, proceedings Edinburgh

Cited by in corpus (2)

• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088