Non Kaehler solvmanifolds with generalized Kaehler structure
arXiv:math/0702164
Abstract
We construct a compact 6-dimensional solvmanifold endowed with a non-trivial invariant generalized Kähler structure and which does not admit any Kähler metric. This is in contrast with the case of nilmanifolds which cannot admit any invariant generalized Kähler structure unless they are tori.
New title. To appear in J. Sympl. Geom