A classification of hyperbolic manifolds related to the three-dimensional torus
Geometric Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0406088,
title = {A classification of hyperbolic manifolds related to the three-dimensional torus},
author = {Akira Ushijima},
journal= {arXiv preprint arXiv:math/0406088},
year = {2007}
}
Comments
13 pages, 6 figures