Everitt, B. (2004) Coxeter Groups and Hyperbolic Manifolds. Mathematische Annalen, 330 (1). pp. 127-150. ISSN 1432-1807
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.
Metadata
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| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (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: | https://doi.org/10.1007/s00208-004-0543-0 |
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