  Let $(M,g_M,\mathcal F)$ be a closed, connected Riemannian manifold with a
Riemannian foliation $\mathcal F$ of nonzero constant transversal scalar
curvature. When $M$ admits a transversal nonisometric conformal field, we find
some generalized conditions that $\mathcal F$ is transversally isometric to the
sphere.
