Convex hulls in hyperbolic 3-space and generalized orthospectral identities

We begin this dissertation by studying the relationship between the Poincar'e metric of a simply connected domain ;3/Gamma;In the second part of this dissertation, we prove an extension of Basmajian's identity to ;In our final chapter, we prove the Bridgeman-Kahn identity for all finite volume hyperbolic ;n...