A note on hyperbolic 3-manifolds of the same volume

DOI10.1007/BF01299317zbMath0789.57008MaRDI QIDQ1321535

Bruno P. Zimmermann

Publication date: 28 April 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178642

zbMATH Keywords

first Betti numberhyperbolic 3-manifolds of the same volumenon-homeomorphic covering spaces of the same degreereflections in the faces of a hyperbolic Coxeter polyhedron

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) General geometric structures on low-dimensional manifolds (57M50)

Related Items (4)

The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds ⋮ Arbitrarily large families of spaces of the same volume ⋮ Volumes of hyperbolic Löbell 3-manifolds ⋮ On distinct finite covers of 3-manifolds

Cites Work

• The smallest arithmetic hyperbolic three-orbifold
• A lower bound for the volume of hyperbolic 3-orbifolds
• The cusped hyperbolic 3-orbifold of minimum volume
• On a hyperbolic 3-manifold with some special properties
• On Torsion-Free Discrete Subgroups of PSL(2, C) with Compact Orbit Space
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