A construction of Courant algebroids on foliated manifolds

preprint2010arXivOpen access

For any transversal-Courant algebroid $E$ on a foliated manifold $(M,\mathcal{F})$ , and for any choice of a decomposition $TM=T\mathcal{F}\oplus Q$ , we construct a Courant algebroid structure on $T\mathcal{F}\oplus T^*\mathcal{F}\oplus E$ .

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A construction of Courant algebroids on foliated manifolds

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