A theorem on N = 2 special Kaehler product manifolds

We consider Kaehler manifolds of the special type which occurs in N = 2, d = 4 supergravity couplings of vector multiplets. A theorem is proven which says that if such a manifold is the direct product of several factors, then the manifold is one of the series SU(1,1)/U(1)xSO(n,2)/SO(n)xSO(2). As an example of the use of this theorem we comment on the moduli of string theories on (2,2) vacua with enhanced gauge symmetry. (author)