Izu Vaisman: A construction of Courant algebroids on foliated manifolds, p.177-183

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 $T\mathcal{F}\oplus T^*\mathcal{F}\oplus E$.

Key Words: Transversal-Courant algebroid, foliated Courant algebroid.

2000 Mathematics Subject Classification: Primary: 53C12,
Secondary: 53D17.

Download the paper in pdf format here.