Abstract: A light metal rim ring for vehicle wheels made of an aluminum alloy with at least one multicavitied hollow profile (1) which has a reinforced, in particular a solid portion (2) for the attachment of a wheel disc (3) or spokes. In the method for constructing this rim ring, the multicavitied hollow profile is first extruded and subsequently the extremities are fixed to one another. The use of such a hollow profile enables to construct lighter rim rings. The extremities are preferably connected to one another by means of a diffusion soldering process or an electron beam or a laser beam welding process which permit small wall thicknesses and large differences in wall thickness.