Robinson Manifolds as the Lorentzian Analogs of Hermite Manifolds
| dc.creator | Nurowski, Pawel | |
| dc.creator | Trautman, Andrzej | |
| dc.date | 2002-01-28 | |
| dc.date.accessioned | 2026-07-07T04:46:08Z | |
| dc.date.available | 2026-07-07T04:46:08Z | |
| dc.description | A Lorentzian manifold is defined here as a smooth pseudo-Riemannian manifold with a metric tensor of signature ((2n +1, 1)). A Robinson manifold is a Lorentzian manifold (M) of dimension (\geqslant 4) with a subbundle (N) of the complexification of (TM) such that the fibers of (N\to M) are maximal totally null (isotropic) and ([\Sec N, \Sec N]\subset \Sec N). Robinson manifolds are close analogs of the proper Riemannian, Hermite manifolds. In dimension 4, they correspond to space-times of general relativity, foliated by a family of null geodesics without shear. Such space-times, introduced in the 1950s by Ivor Robinson, played an important role in the study of solutions of Einstein's equations: plane and sphere-fronted waves, the Gödel universe, the Kerr solution, and their generalizations, are among them. In this survey article, the analogies between Hermite and Robinson manifolds are presented in considerable detail. | |
| dc.identifier | https://arxiv.org/abs/math/0201266 | |
| dc.identifier | http://arxiv.org/abs/math/0201266 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63215 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | 32C81, 53B30, 32V30, 83C20 | |
| dc.title | Robinson Manifolds as the Lorentzian Analogs of Hermite Manifolds | |
| dc.type | text |