  We prove that in dimension 3 every nondegenerate contact form is carried by a
broken book decomposition. As an application we get that if M is a closed
irreducible oriented 3-manifold that is not a graph manifold, for example a
hyperbolic manifold, then every nondegenerate Reeb vector field on M has
positive topological entropy. Moreover, we obtain that on a closed 3-manifold,
every nondegenerate Reeb vector field has either two or infinitely many
periodic orbits, and two periodic orbits are possible only on the sphere or on
a lens space.
