Remarks on symplectic connections

DOI10.1007/s11005-006-0126-yzbMath1111.53069OpenAlexW2104813624MaRDI QIDQ861527

Simone Gutt

Publication date: 29 January 2007

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-006-0126-y

zbMATH Keywords

Ricci-flatsymplectic connectionsymmetric symplectic spaces

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Differential geometry of symmetric spaces (53C35) Symplectic structures of moduli spaces (53D30)

Related Items

Nearly para-Kähler geometry on Lie groups ⋮ Connections on contact manifolds and contact twistor space ⋮ Symmetries of the space of linear symplectic connections

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Affine Zusammenhänge auf Mannigfaltigkeiten mit fastsymplektischer Struktur
• Symplectic curvatue tensors
• Déformations d'algèbres associées à une variété symplectique (les \(*_\nu\)-produits)
• Deformation theory and quantization. I: Deformations of symplectic structures
• A variational principle for symplectic connections
• A simple geometrical construction of deformation quantization
• Natural star products on symplectic manifolds and quantum moment maps
• SYMPLECTIC CONNECTIONS
• A construction of symplectic connections through reduction.