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CUSP DENSITIES OF HYPERBOLIC 3-MANIFOLDS
Published online by Cambridge University Press: 17 June 2002
Abstract
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
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- Copyright © Edinburgh Mathematical Society 2002
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