We show that the moduli space of supersymmetric black holes that arise in t
he five-dimensional N = 2 supergravity theory with any number of vector mul
tiplets is a weak HKT manifold. The moduli metric is expressed in terms of
a HKT potential which is determined by the associated very special geometry
of the supergravity theory. As an example, we give explicitly the black ho
le moduli metric for the STU model. (C) 2000 Published by Elsevier Science
B.V. All rights reserved.