Abstract: The present invention relates, among other things, to a method for forming a workpiece (240) of a material having an exponential tensile stress-strain behavior into a thin-walled, hollow shell (243). In this method, the workpiece (240) is clamped on its periphery and is actively rotated about its center line (M). A freely rotatable spinning die (4) having an external side (4a) with the desired shell shape (243) is pressed with a suitable pressure force against a workpiece side (24a).