Mathematics – Geometric Topology
Scientific paper
2004-06-04
Mathematics
Geometric Topology
13 pages, 6 figures
Scientific paper
L. Paoluzzi constructed a family of compact orientable three-dimensional
hyperbolic manifolds with totally geodesic boundary, which were, by
construction, closely related to the three-dimensional torus. This paper gives
their complete classification up to isometry, and also their isometry groups.
The key tool is the so-called canonical decomposition of hyperbolic manifolds.
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