Walker's theorem without coordinates
| dc.creator | Derdzinski, Andrzej | |
| dc.creator | Roter, Witold | |
| dc.date | 2006-03-17 | |
| dc.date.accessioned | 2026-07-07T07:07:02Z | |
| dc.date.available | 2026-07-07T07:07:02Z | |
| dc.description | We provide a coordinate-free version of the local classification, due to A. G. Walker [Quart. J. Math. Oxford (2) 1, 69 (1950)], of null parallel distributions on pseudo-Riemannian manifolds. The underlying manifold is realized, locally, as the total space of a fibre bundle, each fibre of which is an affine principal bundle over a pseudo-Riemannian manifold. All structures just named are naturally determined by the distribution and the metric, in contrast with the non-canonical choice of coordinates in the usual formulation of Walker's theorem. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603440 | |
| dc.identifier | http://arxiv.org/abs/math/0603440 | |
| dc.identifier | J. Math. Phys. 47 (2006), no. 6, 062504, 8 pp. | |
| dc.identifier | doi:10.1063/1.2209167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110245 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B30 | |
| dc.title | Walker's theorem without coordinates | |
| dc.type | text |