A process in which concave surfaces to form undercut edges can be made and the application of such process to making micromechanical devices. Concave surfaces forming undercut edges are made in a wall of a stationary structure extending from a planar surface by growing a convex bumper into the wall. The bumper forms a convexo-concave relationship with the wall. The bumper is then removed from the wall in such a manner as to preserve the concave, undercut surface of the wall. The stationary structure and the planar surface is then further processed by coating with a sacrificial layer, and a structural layer. The structural layer is patterned into a movable structure that is held onto the stationary structure by the curved, undercut edge such as the slot in a slider. Final processing includes removing the sacrificial layer to free the movable structure from the stationary structure.