Poisson fiber bundles and coupling Dirac structures

Details Poisson fiber bundles and coupling Dirac structures Poisson fiber bundles and coupling Dirac structures

2005-07-28

arxiv.org/abs/math/0507594v1

Mathematics

Symplectic Geometry

Scientific paper

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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