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On a class of hyperbolic 3-manifolds and groups with one defining relation

✍ Scribed by Luisa Paoluzzi; Bruno Zimmermann

Publisher: Springer
Year: 1996
Tongue: English
Weight: 486 KB
Volume: 60
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00160617

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✦ Synopsis

We construct compact hyperbolic 3-manifolds with totally geodesic boundary, arbitrarily many of the same volume. The fundamental groups of these 3-manifolds are groups with one defining relation. Our main result is a classification of these manifolds up to homeomorphism, resp. isometry.

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