A construction of Courant algebroids on foliated manifolds

Izu Vaisman

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arXiv · 1003.0286

A construction of Courant algebroids on foliated manifolds

Izu Vaisman

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Abstract

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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Izu Vaisman. 2010-03-01. A construction of Courant algebroids on foliated manifolds. https://arxiv.org/abs/1003.0286

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