In previous studies, the three invariants of the velocity gradient tensor have been used to study turbulent flow struc-tures. For incompressible flow the first invariant P is zero and the topology of the flow structures can be investigated in terms of the second and third invariants, Q and R respectively. However, these invariants are zero at a no slip wall and can no longer be used to identify and study structures at the surface in a wall-bounded flow. At the wall, the flow field can be de-scribed by a no slip Taylor-series expansion. Like the velocity gradient tensor, it is possible to define the invariants P, Q and R of the no slip tensor. In this paper it will be shown how the topology of the flow field on a no slip wall can be studied in terms of these invariants.