• Corpus ID: 54837163

A construction of Courant algebroids on foliated manifolds

@article{Vaisman2010ACO,
  title={A construction of Courant algebroids on foliated manifolds},
  author={Izu Vaisman},
  journal={arXiv: Differential Geometry},
  year={2010}
}
  • I. Vaisman
  • Published 1 March 2010
  • Mathematics
  • arXiv: Differential Geometry
For any transversal-Courant algebroid E on a foliated manifold (M,F), and for any choice of a decomposition T M = TF © Q, we construct a 

Lie and Courant algebroids on foliated manifolds

This is an exposition of the subject, which was developed in the author’s papers [19, 20]. Various results from the theory of foliations (cohomology, characteristic classes, deformations, etc.) are

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  • 2014

On the geometry of double field theory

Double field theory was developed by theoretical physicists as a way to encompass T-duality. In this paper, we express the basic notions of the theory in differential-geometric invariant terms in the

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In his study of Dirac structures, a notion which includes both Poisson structures and closed 2-forms, T. Courant introduced a bracket on the direct sum of vector fields and 1-forms. This bracket does

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If A is a Lie algebroid over a foliated manifold $${(M, {\mathcal {F}})}$$, a foliation of A is a Lie subalgebroid B with anchor image $${T{\mathcal {F}}}$$ and such that A/B is locally equivalent

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