On singular foliations on the solid torus

We study smooth foliations on the solid torus S 1 × D 2 having S 1 × { 0 } and S 1 × ∂ D 2 as the only compact leaves and S 1 × { 0 } as singular set. We show that all other leaves can only be cylinders or planes, and give necessary conditions for the foliation to be a suspension of a diffeomorphism of the disc.