 Therefore, this generalized complex structure on formula_51 defines an ordinary complex structure on the tangent bundle.As only half of a basis of vector fields are holomorphic, these complex structures are of type "N".In fact complex manifolds, and the manifolds obtained by multiplying the pure spinor bundle defining a complex manifold by a complex, formula_70-closed (2,0)-form, are the only type "N" generalized complex manifolds.