Streamslice on a manifold

Is it possible to draw a 2-dimensional streamslice on a manifold. I have my state space being a cylinder, and was wondering if it was possible to generate a 2-D streamslice which lies on the surface of my cylinder, and not in a plane. Streamslice relies on [X,Y,Z] to be made from meshgrid, which seems to forbid this type of behavior.

Thanks in advance.