Presence of minimal components in a Morse form foliation

Conditions and a criterion for the presence of minimal components in the foliation of a Morse form ω on a smooth closed oriented manifold M are given in terms of (1) the maximum rank of a subgroup in H1(M,Z) with trivial cup-product, (2) ker[ω], and (3) rkω=defrkim[ω], where [ω] is the integration map.