Poisson fiber bundles and coupling Dirac structures
Symplectic Geometry
2016-08-16 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0507594,
title = {Poisson fiber bundles and coupling Dirac structures},
author = {Aïssa Wade},
journal= {arXiv preprint arXiv:math/0507594},
year = {2016}
}