Conformally flat 3-manifolds and Euclidean polyhedra
Conformally flat 3-manifolds and Euclidean polyhedra
In this paper, we study the deformation space C(M) of flat conformal structures on a compact hyperbolic 3-manifold M by using a geodesic simplicial decomposition A of M. In particular, we demonstrate the relations between flat conformal structures, singular pleated hyperbolic structures composed of ideal tetrahedra and euclidean polyhedra.