Isometric actions of Heisenberg groups on compact Lorentz manifolds
| dc.creator | Melnick, Karin | |
| dc.date | 2005-01-15 | |
| dc.date | 2005-10-03 | |
| dc.date.accessioned | 2026-07-07T06:20:29Z | |
| dc.date.available | 2026-07-07T06:20:29Z | |
| dc.description | We prove results toward classifying compact Lorentz manifolds on which Heisenberg groups act isometrically. We give a general construction, leading to a new example, of codimension-one actions--those for which the dimension of the Heisenberg group is one less than the dimension of the manifold. The main result is a classification of codimension-one actions, under the assumption they are real-analytic. | |
| dc.description | 27 pages; to appear in Geometriae Dedicata; added section 3.3 on constructing codimension-one actions from metric-defining paths; classification now phrased in terms of these | |
| dc.identifier | https://arxiv.org/abs/math/0501235 | |
| dc.identifier | http://arxiv.org/abs/math/0501235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95337 | |
| dc.subject | Differential Geometry | |
| dc.title | Isometric actions of Heisenberg groups on compact Lorentz manifolds | |
| dc.type | text |