Thick triangulations of hyperbolic n-manifolds

William Breslin

Vol. 241 (2009), No. 2, 215–225

DOI: 10.2140/pjm.2009.241.215

Abstract

We show that a complete hyperbolic n-manifold has a geodesic triangulation such that the tetrahedra contained in the thick part are L-bilipschitz diffeomorphic to the standard Euclidean n-simplex, for some constant L depending only on the dimension and the constant used to define the thick-thin decomposition of M.

Keywords

hyperbolic manifold, triangulation, thick

Mathematical Subject Classification 2000

Primary: 30F40, 53A35

Secondary: 57M50

Milestones

Received: 27 August 2008

Accepted: 11 December 2008

Published: 1 June 2009