A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds
A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds
We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic n-space, satisfying a natural condition on their parabolic subgroups, there are finite index …