Reduction and construction of Poisson quasi-Nijenhuis manifolds with background

Abstract

We extend the Falceto-Zambon version of Marsden-Ratiu Poisson reduction to Poisson quasi-Nijenhuis structures with background on manifolds. We define gauge transformations of Poisson quasi-Nijenhuis structures with background, study some of their properties and show that they are compatible with reduction procedure. We use gauge transformations to construct Poisson quasi-Nijenhuis structures with background.

to appear in IJGMMP

References in corpus (6)

• Reduction of Courant algebroids and generalized complex structures
• Symmetries in generalized Kähler geometry
• Reduction of Generalized Complex Structures
• Poisson Quasi-Nijenhuis Manifolds
• Poisson quasi-Nijenhuis structures with background
• An extension of the Marsden-Ratiu reduction for Poisson manifolds

Cited by in corpus (1)

• Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds