Notes on projective structures and Kleinian groups

Abstract

Throughout this paper, C will denote the complex plane, C ̂ = C ∪ {∞} the number sphere, and D = {z: |z | < 1} ⊂ C the unit disk. We use PSL(2,C) = SL(2,C) / ± id for the group of Möbius transformations of Ĉ. With Γ an arbitrary Fuchsian group, possibly having elliptic elements, let