Dirac structures for generalized Courant and Courant algebroids

Fani Petalidou; Joana M. Nunes da Costa

Dirac structures for generalized Courant and Courant algebroids

Differential Geometry 2007-05-23 v1 Symplectic Geometry

Authors: Fani Petalidou , Joana M. Nunes da Costa

Abstract

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 $M\times \R$ .

Keywords

lie groupoids and algebroids algebraic geometry simplicial complexes

Cite

@article{arxiv.math/0503462,
  title  = {Dirac structures for generalized Courant and Courant algebroids},
  author = {Fani Petalidou and Joana M. Nunes da Costa},
  journal= {arXiv preprint arXiv:math/0503462},
  year   = {2007}
}

Comments

To appear in proceedings of the conference Poisson 2004

Dirac structures for generalized Courant and Courant algebroids

Abstract

Keywords

Cite

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