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Dirac structures for generalized Courant and Courant algebroids

Fani Petalidou·Joana M. Nunes da Costa
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Abstract

We establish some fundamental relations between Dirac subbundles $L$ for the generalized Courant algebroid $(A\oplus A^{\ast}, ϕ+W)$ 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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Fani Petalidou, Joana M. Nunes da Costa. 2005-03-22. Dirac structures for generalized Courant and Courant algebroids. https://arxiv.org/abs/math/0503462

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