Closed similarity lorentzian affine manifolds
| dc.creator | Tsemo, A. | |
| dc.date | 2002-07-06 | |
| dc.date.accessioned | 2026-07-07T04:49:34Z | |
| dc.date.available | 2026-07-07T04:49:34Z | |
| dc.description | A Sim(n-1,1) affine manifold is an affine manifold whose linear holonomy is contained in the similarity lorentzian group but not in the lorentzian group. The class of similarity lorentzian affine manifolds is a small part in the nice class of conformally lorentzian flat manifolds. In this paper we show that a compact Sim(n-1,1) affine manifold is incomplete. We characterize the universal cover of radiant compact Sim(n-1,1) affine manifolds whose developing map is injective. Let q be the quadratic form which define the Sim(n-1,1) structure, using riemannian foliation theory, we classify compact radiant Sim(n-1,1) affine manifolds M such that D(M') the image of the universal cover M' of M by the developing map D is contained in the upper cone defined q | |
| dc.description | 9 pages, 12 references | |
| dc.identifier | https://arxiv.org/abs/math/0207063 | |
| dc.identifier | http://arxiv.org/abs/math/0207063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64470 | |
| dc.subject | Differential Geometry | |
| dc.title | Closed similarity lorentzian affine manifolds | |
| dc.type | text |