Margulis’ Lemma and its Applications
In this chapter we begin the study of complete hyperbolic manifolds which are not necessarily compact. The essential tool of our investigations is Margulis’ lemma, which is proved in the first section, while the second section is devoted to the basic properties of the thin-thick decomposition of a hyperbolic manifold. In the third section several facts are deduced about the shape of the ends, in particular in the case of finite volume.
KeywordsFinite Volume Common Fixed Point Hyperbolic Manifold Hyperbolic Type Closed Disc
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