A LIE ALGEBROID AND A DIRAC STRUCTURE ASSOCIATED TO AN ALMOST DIRAC STRUCTURE

KENTARO MIKAMI, TADAYOSHI MIZUTANI
2006 Foliations 2005  
We show that to an almost Dirac structure of a manifold, there associates a Lie algebroid. In the case of a Poisson manifold, this Lie algebroid coincides with the usual cotangent Lie algebroid with Lie algebra bracket on the space of one-forms.
doi:10.1142/9789812772640_0018 fatcat:bqjnweiltzcnzp5cprwyw4haoi