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Poisson fiber bundles and coupling Dirac structures

2005/07/28 by Aı̈ssa Wade, Wade, Aïssa
Mathematics · Physics and Astronomy · Medicine · #Homotopy and Cohomology in Algebraic Topology #Advanced Differential Geometry Research #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.math/0507594

Abstract

We give sufficient conditions for the existence of a Dirac structure on the total space of a Poisson fiber bundle endowed with a compatible connection. We also show that Cartan and Cartan-Hannay-Berry connections give rise to coupling Dirac structures.

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