  We show the existence of a family of manifolds on which all (pointwise or
absolutely) partially hyperbolic systems are dynamically coherent. This family
is the set of 3-manifolds with nilpotent, non-abelian fundamental group. We
further classify the partially hyperbolic systems on these manifolds up to leaf
conjugacy. We also classify those systems on the 3-torus which do not have an
attracting or repelling periodic 2-torus. These classification results allow us
to prove some dynamical consequences, including existence and uniqueness
results for measures of maximal entropy and quasi-attractors.
