The Concorde burnt five times more fuel per passenger mile than the 747. A huge contributor must have been the immense empty weight per seat, three times that of the B747.
This weight excess is distributed among the slender fuselage, thin wings, long landing gear, big engines, and (possibly) material constraints.
But how much of the weight increase comes from each of these components, and why? I am looking for a comparison with the weight breakdown of a conventional jetliner