REDUCTION AND CONSTRUCTION OF POISSON QUASI-NIJENHUIS MANIFOLDS WITH BACKGROUND

DOI10.1142/S0219887810004439zbMath1196.53048arXiv0912.0688MaRDI QIDQ3583047

Joana M. Nunes da Costa, Flávio Cordeiro

Publication date: 26 August 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0688

zbMATH Keywords

gauge transformationsPoisson reductionPoisson manifoldsNijenhuis manifolds

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Contact manifolds (general theory) (53D10)

Cites Work

• Reduction of Courant algebroids and generalized complex structures
• Symmetries in generalized Kähler geometry
• Poisson quasi-Nijenhuis manifolds
• Reduction and submanifolds of generalized complex manifolds
• Reduction of branes in generalized complex geometry
• An extension of the Marsden-Ratiu reduction for Poisson manifolds
• Poisson quasi-Nijenhuis structures with background
• Reduction of Poisson manifolds
• Gauge equivalence of Dirac structures and symplectic groupoids
• Reduction of Poisson-Nijenhuis manifolds
• Reduction of generalized complex structures
• Generalized complex manifolds and supersymmetry

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