an enlarged representation of one end of the line for a better overview similar to the embodiment in fig1 in fig2 and 3 a corrugated ring hose 20 comprising stainless steel is connected at its ends to respective connecting parts 21 22 for example by laser welded seams the connecting parts 21 22 comprise tubular pieces 23 24 which fold to form radially outward projecting collars 25 26 in the region of the ends of the corrugated hose 20 such that the tubular pieces project with an end segment 27 28 into the ends of the corrugated hose 20 to support the inside of the hose a stainless steel braided cable hose 29 is spaced radially from the corrugated hose 20 its ends are guided toward the tubular pieces 23 24 by way of the collars 25 26 and are welded there to inserted support rings 30 31 at locations 32 33 this construction relieves the end corrugations of the corrugated hose 20 from the transition from the braided cable jacket 29 to the smaller outside diameter of the tubular pieces 23 24 through the absorption of the associated stress by the collars or folds 25 26 with respect to radial stress the braided cable hose 29 is rigid enough to support radial expansions originating from the corrugated hose 1 under high internal pressure stress to prevent abrasive contact between the corrugated hose 20 and the braided cable jacket 29 the radial space between these two parts is filled so as to prevent play with an intermediate layer 34 comprising a plastic that is foamed onto the outside of the corrugated hose 20 and fills in the corrugation troughs 37 of the corrugated hose 20 between adjacent corrugation crests 35 36 for covering the.