Reduction and construction of Poisson quasi-Nijenhuis manifolds with background

Details Reduction and construction of Poisson quasi-Nijenhuis manifolds with background Reduction and construction of Poisson quasi-Nijenhuis manifolds with background

2009-12-03

arxiv.org/abs/0912.0688v1

Mathematics

Differential Geometry

to appear in IJGMMP

Scientific paper

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.

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