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

Primary: 30F40, 53A35

Secondary: 57M50

Milestones

Received: 27 August 2008
Accepted: 11 December 2008

Authors