English

A construction of Courant algebroids on foliated manifolds

Differential Geometry 2010-05-27 v1

Abstract

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

Keywords

Cite

@article{arxiv.1003.0286,
  title  = {A construction of Courant algebroids on foliated manifolds},
  author = {Izu Vaisman},
  journal= {arXiv preprint arXiv:1003.0286},
  year   = {2010}
}

Comments

LaTeX, 6 pages