The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic
3-manifold yield a 3-manifold which is irreducible, atoroidal and not Seifert fibred, and which …

This excellent introduction to topology eases first-year math students and general readers
into the subject by surveying its concepts in a descriptive and intuitive way, attempting to …

Given a closed hyperbolic n-manifold M, we study the flat Lorentzian structures on M× ℝ
such that M×{0} is a Cauchy surface. We show there exist only two maximal structures …

Using the theory of hyperbolic manifolds with totally geodesic boundary, we provide for
every n≥ 2 a class ℳ n of such manifolds all having Matveev complexity equal to n and …

Let P be a locally finite circle packing in the plane ℂ invariant under a non-elementary
Kleinian group Γ and with finitely many Γ-orbits. When Γ is geometrically finite, we construct …

A hyperbolic manifold is a riemannian manifold with constant sectional curvature-1.
Jorgensen showed that there are only finitely many topological types of the thick part of …

We investigate the rigidity of hyperbolic cone metrics on 3‐manifolds which are isometric
gluing of ideal and hyper‐ideal tetrahedra in hyperbolic spaces. These metrics will be called …

Given a hyperbolic surface with geodesic boundary S, the lengths of a maximal system of
disjoint simple geodesic arcs on S that start and end at∂ S perpendicularly are coordinates …

We classify the orientable finite-volume hyperbolic 3-manifolds having nonempty compact
totally geodesic boundary and admitting an ideal triangulation with at most four tetrahedra …

We extend to the context of hyperbolic 3-manifolds with geodesic boundary Thurston's
approach to hyperbolization by means of geometric triangulations. In particular, we …