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Poisson fiber bundles and coupling Dirac structures

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.

preprint2005arXivOpen access
Aïssa Wade
math.SGmath.DG
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Aïssa Wade

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