Abstract: An asymmetrical, one-piece, hollow metal structure, such as the trailing edge of an aircraft wing leading edge slat comprises two outer skins (16; 18) having different curvatures, interconnected by an edge (20) and moving progressively away from one another. The structure also comprises inner reinforcements defining pairs of cavities (26, 28) separated by a median bulkhead. Manufacture takes place by diffusion welding and superplastic moulding or forming, without opening the tools. In order to take account of the asymmetry, cutouts (40, 42) are made in the skin (18), which is elongated most during forming and the cut parts (44, 46) are joined to the other skin (16).