A method for inhibiting corrosion in at least one required region of an elongate metal structure, comprising applying a high-frequency electromagnetic signal to the structure in a manner such that a voltage standing wave is established in the structure with a corrosion-inhibiting potential at the required region(s) of the structure. The method is advantageously applied to an oil well riser pipe, to inhibit corrosion of the external surface thereof in the vicinity of an oil production zone.