Free 3-distributions: holonomy, Fefferman constructions and dual distributions
| dc.creator | Armstrong, Stuart | |
| dc.date | 2007-08-22 | |
| dc.date | 2008-03-27 | |
| dc.date.accessioned | 2026-07-07T09:28:34Z | |
| dc.date.available | 2026-07-07T09:28:34Z | |
| dc.description | This paper analyses the parabolic geometries generated by a free 3-distribution in the tangent space of a manifold. It shows the existence of normal Fefferman constructions over CR and Lagrangian contact structures corresponding to holonomy reductions to SO(4,2) and SO(3,3), respectively. There is also a fascinating construction of a `dual' distribution when the holonomy reduces to $G_2'$. The paper concludes with some holonomy constructions for free $n$-distributions for $n>3$. | |
| dc.description | a corrected and improved version, 24 pages | |
| dc.identifier | https://arxiv.org/abs/0708.3027 | |
| dc.identifier | http://arxiv.org/abs/0708.3027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157467 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B05, 53B15, 32V99, 58J70, 58A30, 53A30 | |
| dc.title | Free 3-distributions: holonomy, Fefferman constructions and dual distributions | |
| dc.type | text |