Dirac structures on generalized Riemannian manifolds
Differential Geometry
2011-05-31 v1 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.1105.5908,
title = {Dirac structures on generalized Riemannian manifolds},
author = {Izu Vaisman},
journal= {arXiv preprint arXiv:1105.5908},
year = {2011}
}
Comments
LaTeX, 24 pages