Injectivity Radius Bounds in Hyperbolic I-Bundle Convex Cores
| dc.creator | Fan, Carol E. | |
| dc.date | 1999-07-08 | |
| dc.date.accessioned | 2026-07-07T05:29:50Z | |
| dc.date.available | 2026-07-07T05:29:50Z | |
| dc.description | A version of a conjecture of McMullen is as follows: Given a hyperbolizable 3-manifold M with incompressible boundary, there exists a uniform constant K such that if N is a hyperbolic 3-manifold homeomorphic to the interior of M, then the injectivity radius based at points in the convex core of N is bounded above by K. This conjecture suggests that convex cores are uniformly congested. We will give a proof in the case when M is an I-bundle over a closed surface, taking into account the possibility of cusps. | |
| dc.description | 42 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/9907052 | |
| dc.identifier | http://arxiv.org/abs/math/9907052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78793 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50 (primary); 30F40, 57N10 (Secondary) | |
| dc.title | Injectivity Radius Bounds in Hyperbolic I-Bundle Convex Cores | |
| dc.type | text |