**Let $N$ be the figure 8 knot complement, What we can say about such kind of dim 2 foliation $F$ on $N$: (1) no Reeb (2 dim); (2) $F$ intersect transversly with $\partial N$ is $n$ pareller Reeb (1 dim)?**

Here is a natural example. Let $T^2$ be a torus and $f=(2,1;1,1)$ be a diff on $T^2$. Suppose $(M,\phi_t)$ is the suspension of $(T^2,f)$, which is a transitive Anosov flow. Then cut a standard small solid torus neighborhood of the closed orbit of 0, we obtain a manifold $N$ which is homeomorphic to figure 8 knot complement. The stable manifolds of $\phi_t$ (restrict to $N$) give $N$ a dim 2 foliation $F$ which satisfies:(1) no Reeb; (2)$F$ intersect transversly with $\partial N$ is two pareller Reeb.

This example comes from the paper link text where Franks and Williams constructed the first example of nontransitive Anosov flow.

**Can we construct more such kind of foliation? How? Can we classify them in some sense? ...**