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Thick triangulations of hyperbolic<i>n</i>-manifolds

Thick triangulations of hyperbolic<i>n</i>-manifolds

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 thickthin decomposition of M.