  We construct complete, embedded minimal annuli asymptotic to vertical planes
in the Riemannian 3-manifold PSL. The boundary of these annuli consists of 4
vertical lines at infinity. They are constructed by taking the limit of a
sequence of compact minimal annuli. The compactness is obtained from an
estimate of curvature which uses foliations by minimal surfaces. This estimate
is independent of the index of the surface. We also prove the existence of a
one-periodic family of Riemann's type examples. The difficulty of the
construction comes from the lack of symmetry of the ambient space PSL.
