Electronic Resource
Springer
Monatshefte für Mathematik
117 (1994), S. 139-143
ISSN:
1436-5081
Keywords:
57M99
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We describe a method for constructing an arbitrary number of closed hyperbolic 3-manifolds of the same volume. In fact we prove that many hyperbolic 3-manifolds of finite volume have an arbitrary number of non-homeomorphic finite convering spaces of the same degree and hence the same volume. This applies, for example, to all hyperbolic 3-manifolds whose universal covering group is a subgroup of finite index in a Coxeter group generated by the reflections in the faces of a hyperbolic Coxeter polyhedron. It also applies to all hyperbolic 3-manifolds of finite volume with at least one cusp.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01299317
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