The main result assumes a transversely oriented codimension 2 foliation \(\mathcal F\) on a closed oriented Riemannian manifold \((M,g)\) with a basic transverse volume form \(\mu\) such that the Ricci curvature of each leaf of \(\mathcal F\) is quasi-positive. Suppose that the restriction to each leaf of \(\mathcal F\) of the 1-form \(\beta\) on \(M\) is closed, where \(\beta(E)=g(\mathcal V[X,Y],E)\) for basic vector fields \(X\), \(Y\) with \(\mu(X,Y)=1\), and \(\kappa\wedge\chi_\mathcal F\) is closed on \(M\), where \(\kappa\) is the mean curvature 1-form and \(\chi_\mathcal F\) the characteristic form for \(\mathcal F\). Then the distribution orthogonal to that of the leaves of \(\mathcal F\) is integrable with its leaves being minimal surfaces of \(M\).