par Cahen, Michel 
;Gutt, Simone ;Horowitz, Joël ;Rawnsley, John
Référence Journal of geometry and physics, 38, page (140-151)
Publication Publié, 2001
;Gutt, Simone ;Horowitz, Joël ;Rawnsley, JohnRéférence Journal of geometry and physics, 38, page (140-151)
Publication Publié, 2001
Article révisé par les pairs
| Résumé : | We consider invariant symplectic connections ∇ on homogeneous symplectic manifolds (M,ω) with curvature of Ricci type. Such connections are solutions of a variational problem studied by Bourgeois and Cahen, and provide an integrable almost complex structure on the bundle of almost complex structures compatible with the symplectic structure. If M is compact with finite fundamental group then (M,ω) is symplectomorphic to Pn(C) with a multiple of its Kähler form and ∇ is affinely equivalent to the Levi-Civita connection. © 2001 Elsevier Science B.V. |
