Closed Essential Surfaces in Hyperbolizable


The proof uses techniques from both the theory of Kleinian groups and the theory of 3-manifolds. The connections between these two theories were first noticed by Poincarè, were first exploited by Marden [12], and were used to great effect by Thurston in his study of the geometrization of 3-manifolds. We begin in Section 2 by giving a general description of… (More)