  We discuss about the denseness of the strong stable and unstable manifolds of
partially hyperbolic diffeomorphisms. In this sense, we introduce a concept of
m-minimality. More precisely, we say that a partially hyperbolic
diffeomorphisms is m-minimal if m-almost every point in M has its strong stable
and unstable manifolds dense in M. We show that this property has dynamics
consequences: topological and ergodic. Also, we prove the abundance of
m-minimal partially hyperbolic diffeomorphisms in the volume preserving and
symplectic scenario.
