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CUSP DENSITIES OF HYPERBOLIC 3-MANIFOLDS

Published online by Cambridge University Press:  17 June 2002

Colin Adams
Colin Adams
Affiliation:
Department of Mathematics, Williams College, Williamstown, MA 01267, USA (Colin.Adams@williams.edu)
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Abstract

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The cusp density of a hyperbolic 3-manifold is the ratio of the largest possible volume in a set of cusps with disjoint interiors to the volume in the manifold. It is known that all cusp densities fall in the interval $[0,0.853\dots]$. It is shown that the cusp densities of finite-volume orientable hyperbolic 3-manifolds are dense in this interval.

AMS 2000 Mathematics subject classification: Primary 57M50

Keywords

hyperbolic 3-manifoldcusp volumehyperbolic volumecusp density
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 2 , June 2002 , pp. 277 - 284
Copyright
Copyright © Edinburgh Mathematical Society 2002