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Margulis’ Lemma and its Applications

  • Riccardo Benedetti
  • Carlo Petronio
Part of the Universitext book series (UTX)

Abstract

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.

Keywords

Finite Volume Common Fixed Point Hyperbolic Manifold Hyperbolic Type Closed Disc 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Riccardo Benedetti
    • 1
  • Carlo Petronio
    • 1
  1. 1.Dipartimento di MatematicaUniversità degli Studi di PisaPisaItaly

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