English

Kleinian groups in higher dimensions

Geometric Topology 2007-05-23 v1 Differential Geometry Group Theory

Abstract

This is a survey of higher-dimensional Kleinian groups, i.e., discrete isometry groups of the hyperbolic n-space for n greater than 3. Our main emphasis is on the topological and geometric aspects of higher-dimensional Kleinian groups and their contrast with the discrete groups of isometry of the hyperbolic 3-space.

Keywords

Cite

@article{arxiv.math/0701370,
  title  = {Kleinian groups in higher dimensions},
  author = {Michael Kapovich},
  journal= {arXiv preprint arXiv:math/0701370},
  year   = {2007}
}

Comments

70 pages, 6 figures. To appear in Proceedings of A. Reznikov Memorial Conference "Geometry and Dynamics of Groups and Spaces''