Arithmetic cusp shapes are dense
| dc.creator | McReynolds, D. B. | |
| dc.date | 2006-06-20 | |
| dc.date | 2007-06-27 | |
| dc.date.accessioned | 2026-07-07T12:33:38Z | |
| dc.date.available | 2026-07-07T12:33:38Z | |
| dc.description | In this article we verify an orbifold version of a conjecture of Nimershiem from 1998. Namely, for every flat $n$-manifold $M$, we show that the set of similarity classes of flat metrics on $M$ which occur as a cusp cross-section of a hyperbolic $(n+1)$-orbifold is dense in the space of similarity classes of flat metrics on $M$. The set used for density is precisely the set of those classes which arise in arithmetic orbifolds. | |
| dc.description | Revised after referee report. 11 pages. To appear in Geom. Dedicata | |
| dc.identifier | https://arxiv.org/abs/math/0606508 | |
| dc.identifier | http://arxiv.org/abs/math/0606508 | |
| dc.identifier | Geom. Dedicata 2007 (129), 47-55. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217195 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.title | Arithmetic cusp shapes are dense | |
| dc.type | text |