Preprint D23/2006
Formality in generalized Kahler geometry

Gil Cavalcanti

**Keywords: **
Formality; generalized Kahler; nilmanifolds

Using Gualtieri's ddbar-lemma for generalized kahler manifolds we prove that if one of the generalized complex structures forming a generalized kahler pair has holomorphically trivial canonical bundle, then a certain differential graded algebra associated to it is formal. As an application we prove that no nilpotent Lie algebra has a generalized kahler structure.