A construction of symplectic connections through reduction

Citation
P. Baguis et M. Cahen, A construction of symplectic connections through reduction, LETT MATH P, 57(2), 2001, pp. 149-160
Citations number
4
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
57
Issue
2
Year of publication
2001
Pages
149 - 160
Database
ISI
SICI code
0377-9017(200108)57:2<149:ACOSCT>2.0.ZU;2-X
Abstract
We give an elementary construction of symplectic connections through reduct ion. This provides an elegant description of a class of symmetric spaces an d gives examples of symplectic connections with Ricci type curvature, which are not locally symmetric; the existence of such symplectic connections wa s unknown.