Symplectic connections

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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.
Version 2 removes the claim in section 6.8 that the twistor complex structure is compatible with reduction

Keywords

Symplectic Geometry, Differential Geometry, 53D35, 53D05, 58J60

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/104830

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511194
 http://arxiv.org/abs/math/0511194

Collections

arXiv