Dirac structures for generalized Courant and Courant algebroids

Details Dirac structures for generalized Courant and Courant algebroids Dirac structures for generalized Courant and Courant algebroids

2005-03-22

arxiv.org/abs/math/0503462v1

Mathematics

Differential Geometry

To appear in proceedings of the conference Poisson 2004

Scientific paper

We establish some fundamental relations between Dirac subbundles $L$ for the
generalized Courant algebroid $(A\oplus A^{\ast}, \phi+W)$ over a
differentiable manifold $M$ and the associated Dirac subbubndles $\tilde{L}$
for the corresponding Courant algebroid $\tilde{A} \oplus \tilde{A}^{\ast}$
over $M\times \R$.

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