A sleeve that has the shape seen in the longitudinal direction that deviates in cross section and/or has an outside diameter that changes from a shape with a rotational symmetry to a shape with a non-rotational symmetry and has a ridge extending at least a portion of the length of the sleeve to form ledges between the ridge and adjacent curved surfaces. A method for manufacturing the sleeve includes inserting a workpiece in a die having the desired contour for the outer surface of the sleeve, heating the material and subjecting the material to internal pressure to deform the workpiece into the contour of the die to form the sleeve.