Quasi-rigidity of hyperbolic 3-manifolds and scattering theory
| dc.creator | Borthwick, David | |
| dc.creator | McRae, Alan | |
| dc.creator | Taylor, Edward | |
| dc.date | 1996-03-19 | |
| dc.date.accessioned | 2026-07-07T09:12:44Z | |
| dc.date.available | 2026-07-07T09:12:44Z | |
| dc.description | Take two isomorphic convex co-compact co-infinite volume Kleinian groups, whose regular sets are diffeomorphic. The quotient of hyperbolic 3-space by these groups gives two hyperbolic 3-manifolds whose scattering operators may be compared. We prove that the operator norm of the difference between the scattering operators is small, then the groups are related by a coorespondingly small quasi-conformal deformation. This in turn implies that the two hyperbolic 3-manifolds are quasi-isometric. | |
| dc.description | LaTeX, 11 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9603010 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9603010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152120 | |
| dc.subject | Differential Geometry | |
| dc.title | Quasi-rigidity of hyperbolic 3-manifolds and scattering theory | |
| dc.type | text |