 A scalar is annihilated by the entire tangent space, and so these structures are of type "0".Up to a shift of the B-field, which corresponds to multiplying the pure spinor by the exponential of a closed, real 2-form, symplectic manifolds are the only type 0 generalized complex manifolds.Manifolds which are symplectic up to a shift of the B-field are sometimes called B-symplectic.