A classification of hyperbolic manifolds related to the three-dimensional torus

Akira Ushijima

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A classification of hyperbolic manifolds related to the three-dimensional torus

Akira Ushijima

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Abstract

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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Akira Ushijima. 2004-06-04. A classification of hyperbolic manifolds related to the three-dimensional torus. https://arxiv.org/abs/math/0406088

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