Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle
| dc.creator | Thurston, William P. | |
| dc.date | 1998-01-10 | |
| dc.date.accessioned | 2026-07-07T05:23:33Z | |
| dc.date.available | 2026-07-07T05:23:33Z | |
| dc.description | Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admits a geometric decomposition. Double limit theorem: for any sequence of quasi-Fuchsian groups whose controlling pair of conformal structures tends toward a pair of projectively measured laminations that bind the surface, there is a convergent subsequence. This preprint also analyzes the quasi-isometric geometry of quasi-Fuchsian 3-manifolds. This eprint is based on a 1986 preprint, which was refereed and accepted for publication, but which I neglected to correct and return. The referee's corrections have now been incorporated, but it is largely the same as the 1986 version (which was a significant revision of a 1981 version). | |
| dc.description | 32 pages, 6 figures, revision of 1986 preprint | |
| dc.identifier | https://arxiv.org/abs/math/9801045 | |
| dc.identifier | http://arxiv.org/abs/math/9801045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76481 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57m50 | |
| dc.title | Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle | |
| dc.type | text |