Integral Congruence Two Hyperbolic 5-Manifolds
| dc.creator | Ratcliffe, John G. | |
| dc.creator | Tschantz, Steven T. | |
| dc.date | 2003-08-13 | |
| dc.date.accessioned | 2026-07-07T05:00:22Z | |
| dc.date.available | 2026-07-07T05:00:22Z | |
| dc.description | In this paper, we classify all the orientable hyperbolic 5-manifolds that arise as a hyperbolic space form $H^5/Γ$ where $Γ$ is a torsion-free subgroup of minimal index of the congruence two subgroup $Γ^5_2$ of the group $Γ^5$ of positive units of the Lorentzian quadratic form $x_1^2+...+x_5^2-x_6^2$. We also show that $Γ^5_2$ is a reflection group with respect to a 5-dimensional right-angled convex polytope in $H^5$. As an application, we construct a hyperbolic 5-manifold of smallest known volume $7ζ(3)/4$. | |
| dc.description | 21 pages, 2 figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0308125 | |
| dc.identifier | http://arxiv.org/abs/math/0308125 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68307 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 30F40, 51M10, 53C25 | |
| dc.title | Integral Congruence Two Hyperbolic 5-Manifolds | |
| dc.type | text |