par Gutt, Simone 
Référence letters in mathematical physics, 78, 3, page (307-328)
Publication Publié, 2006-12
Référence letters in mathematical physics, 78, 3, page (307-328)
Publication Publié, 2006-12
Article révisé par les pairs
| Résumé : | This note contains a short survey on some recent work on symplectic connections: properties and models for symplectic connections whose curvature is determined by the Ricci tensor, and a procedure to build examples of Ricci-flat connections. For a more extensive survey, see Bieliavsky et al. [Int. J. Geom. Methods Mod. Phys. 3, 375-420 2006]. This note also includes a moment map for the action of the group of symplectomorphisms on the space of symplectic connections, an algebraic construction of a large class of Ricci-flat symmetric symplectic spaces, and an example of global reduction in a non-symmetric case. © Springer Science+Business Media, Inc. 2006. |
