Inflatable fraction kite (1) and the system for managing the traction power, the direction and the transient maneuvers thereof, shaped as a negative dihedron, of the type known as `C-shape` or `C-kite`, and comprising load-bearing riggers and riggers used to manage the direction and trim, the kite (1) being characterized in that in flight it is designed to be delta-shaped and for this reason its leading edge (10), when laid flat, has a curvature such that, for each half-wing (12, 13) of the kite, the angle (.alpha.) formed by the tangent (S) to said central point (A) and the tangent (T) at a given point (B) increases as said given point (B) moves from the forward central point (A) toward the end (14, 15) of the kite (1) and in that, in the first third of said half-wing (12, 13) of the kite, from the forward central point (A) and in the direction of one end (14, 15), said angle (.alpha.) is greater than 15.degree..