Actions of noncompact semisimple groups on Lorentz manifolds
| dc.creator | Deffaf, Mohamed | |
| dc.creator | Melnick, Karin | |
| dc.creator | Zeghib, Abdelghani | |
| dc.date | 2006-01-09 | |
| dc.date | 2007-04-05 | |
| dc.date.accessioned | 2026-07-07T07:54:55Z | |
| dc.date.available | 2026-07-07T07:54:55Z | |
| dc.description | The above title is the same, but with "semisimple" instead of "simple," as that of a notice by N. Kowalsky. There, she announced many theorems on the subject of actions of simple Lie groups preserving a Lorentz structure. Unfortunately, she published proofs for essentially only half of the announced results before her premature death. Here, using a different, geometric approach, we generalize her results to the semisimple case, and give proofs of all her announced results. | |
| dc.description | 25 pp, to appear in Geometric and Functional Analysis sharpened thm 1.9 to give global description of actions in all cases; added section 8 on structure of orbits of Riemannian type and how Riemannian and Lorentzian orbits meet around degenerate set; many minor corrections and improvements thanks to referee's comments | |
| dc.identifier | https://arxiv.org/abs/math/0601165 | |
| dc.identifier | http://arxiv.org/abs/math/0601165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126794 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A35, 37C85, 57S20 | |
| dc.title | Actions of noncompact semisimple groups on Lorentz manifolds | |
| dc.type | text |