Dirac structures on generalized Riemannian manifolds

Details Dirac structures on generalized Riemannian manifolds Dirac structures on generalized Riemannian manifolds

2011-05-30

arxiv.org/abs/1105.5908v1

Mathematics

Differential Geometry

LaTeX, 24 pages

Scientific paper

We characterize the Dirac structures that are parallel with respect to Gualtieri's canonical connection of a generalized Riemannian metric. On the other hand, we discuss Dirac structures that are images of generalized tangent structures. These structures turn out to be Dirac structures that, if seen as Lie algebroids, have a symplectic structure. Particularly, if compatibility with a generalized Riemannian metric is required, the symplectic structure is of the Kaehler type.

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