Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
| dc.creator | Bromberg, Shirley | |
| dc.creator | Medina, Alberto | |
| dc.date | 2008-06-10 | |
| dc.date | 2008-12-18 | |
| dc.date.accessioned | 2026-07-07T12:14:42Z | |
| dc.date.available | 2026-07-07T12:14:42Z | |
| dc.description | In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and not sufficient for 3-dimensional non unimodular Lie groups. As a consequence it is possible to identify, amongst the compact locally homogeneous Lorentzian 3-manifolds with non compact (local) isotropy group, those that are geodesically complete. | |
| dc.description | Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0806.1632 | |
| dc.identifier | http://arxiv.org/abs/0806.1632 | |
| dc.identifier | SIGMA 4 (2008), 088, 13 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211285 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C22, 53C50, 57M50 | |
| dc.title | Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds | |
| dc.type | text |