Symplectic connections
| dc.creator | Bieliavsky, Pierre | |
| dc.creator | Cahen, Michel | |
| dc.creator | Gutt, Simone | |
| dc.creator | Rawnsley, John | |
| dc.creator | Schwachhofer, Lorenz | |
| dc.date | 2005-11-08 | |
| dc.date | 2006-05-16 | |
| dc.date.accessioned | 2026-07-07T06:50:57Z | |
| dc.date.available | 2026-07-07T06:50:57Z | |
| dc.description | This article is an overview of the results obtained in recent years on symplectic connections. We present what is known about preferred connections (critical points of a variational principle). The class of Ricci-type connections (for which the curvature is entirely determined by the Ricci tensor) is described in detail, as well as its far reaching generalization to special connections. A twistorial construction shows a relation between Ricci-type connections and complex geometry. We give a construction of Ricci-flat symplectic connections. We end up by presenting, through an explicit example, an approach to noncommutative symplectic symmetric spaces. | |
| dc.description | Version 2 removes the claim in section 6.8 that the twistor complex structure is compatible with reduction | |
| dc.identifier | https://arxiv.org/abs/math/0511194 | |
| dc.identifier | http://arxiv.org/abs/math/0511194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104830 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D35, 53D05, 58J60 | |
| dc.title | Symplectic connections | |
| dc.type | text |