A theorem on discrete, torsion free subgroups of Isom $H^n$
| dc.creator | Kim, Young Deuk | |
| dc.date | 2002-10-29 | |
| dc.date | 2003-12-27 | |
| dc.date.accessioned | 2026-07-07T07:46:50Z | |
| dc.date.available | 2026-07-07T07:46:50Z | |
| dc.description | Let $H^n$ be the hyperbolic n-space with $n\geq 2$. Suppose that $Γ<Isom H^n$ is a discrete, torsion free subgroup and $a$ is a point in the domain of discontinuity $Ω(Γ)$. Let $p$ be the projection map from $H^n$ to the quotient manifold $M=H^n/Γ$. In this paper we prove that there exists an open neighborhood $U$ of $a$ in $H^n\cupΩ(Γ)$ such that $p$ is an isometry on $U\cap H^n$. | |
| dc.description | 7 pages, 1 figures, To be appear in Geom. Dedicata | |
| dc.identifier | https://arxiv.org/abs/math/0210437 | |
| dc.identifier | http://arxiv.org/abs/math/0210437 | |
| dc.identifier | Geometriae Dedicata 109(2004) 51-57 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123959 | |
| dc.subject | Geometric Topology | |
| dc.subject | 30F40(Primary) 57M50(Secondary) | |
| dc.title | A theorem on discrete, torsion free subgroups of Isom $H^n$ | |
| dc.type | text |