In a system for guiding a rapidly rotating record carrier foil, by establishing a flow of air, so as to give the foil a stabilizing curvature which is stationary in space and which has a crest line extending along a diameter of the foil, the desired curvature is created by providing guide elements in regions along such crest line, and a surface disposed to establish air flows under the foil in sectors centered on a line perpendicular to the crest line, and by not guiding the foil at all in regions between the sectors and extending to the edges of the foil.