Crossing over the following paragraph: There are three types of special manifolds which we shall discuss, related to the real scalars of gauge multiplets in D = 5, the complex scalars of D = 4 gauge multiplets and the quaternionic scalars of hypermultiplets. Since there are no scalars in the gauge multiplets of D = 6, there is no geometry in that case. On another occasion, I crossed over the following statement: That special geometry is determined by scalars of vector multiplets in N=2 Supergravity theories. I wonder how scalars determine geometry of a manifold. In other words, how would scalars of vector multiplets characterize the geometry (special geometry) for a manifold?