A -injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C0 taut foliation can be homotoped to an immersed surface which is either transverse to the foliation except at isolated saddle tangencies or mapped into a leaf.
Cite this article
D. Gabai, Combinatorial volume preserving flows and taut foliations. Comment. Math. Helv. 75 (2000), no. 1, pp. 109–124