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Coxeter Groups and Hyperbolic Manifolds

Everitt, B. (2004) Coxeter Groups and Hyperbolic Manifolds. Mathematische Annalen, 330 (1). pp. 127-150. ISSN 1432-1807

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Abstract

The theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperbolic manifolds. Combinatorial properties of finite images of these groups can be used to compute the volumes of the resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each of very small volume, and in one case of smallest possible volume.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 03 Apr 2009 11:22
Last Modified: 03 Apr 2009 11:22
Published Version: http://dx.doi.org/10.1007/s00208-004-0543-0
Status: Published
Publisher: Springer Verlag (Germany)
Identification Number: 10.1007/s00208-004-0543-0
URI: http://eprints.whiterose.ac.uk/id/eprint/6923

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