This paper presents a study of extremal magnetic black holes in N = 2 supergravity coupled to vector multiplets. The authors show that these black holes can be described as supersymmetric solitons that interpolate between maximally symmetric solutions at spatial infinity and the horizon. A simple exact solution is found for the special case where the ratios of the vector multiplet fields are real. They find that the logarithm of the conformal factor of the spatial metric equals the Kähler potential on the vector multiplet moduli space. The paper discusses the general form of the supersymmetric magnetic black hole solutions and their interpretation as interpolating solitons. It shows that the solutions can be derived from the Bianchi identities and that the gravitino transformation law leads to a first-order differential equation. The solutions are found to interpolate between maximally symmetric vacua at infinity and the horizon. The authors also show that the space-time geometry can be derived from Kähler geometry, and that the logarithm of the spatial conformal factor is identified with the moduli space Kähler potential. Several examples are discussed, including Calabi-Yau magnetic black holes, massive and massless SU(1,n)/SU(n) supersymmetric white holes, and N = 4, 2 pure supergravity black holes. The authors find that the space-time geometry of these solutions can be described in terms of the Kähler potential and that the logarithm of the spatial conformal factor is identified with the moduli space Kähler potential. The paper concludes that there is a simple relation between the special geometry describing the couplings of scalars and vectors in extended locally supersymmetric theories and the space-time geometry of the black-hole-type solutions in these theories.This paper presents a study of extremal magnetic black holes in N = 2 supergravity coupled to vector multiplets. The authors show that these black holes can be described as supersymmetric solitons that interpolate between maximally symmetric solutions at spatial infinity and the horizon. A simple exact solution is found for the special case where the ratios of the vector multiplet fields are real. They find that the logarithm of the conformal factor of the spatial metric equals the Kähler potential on the vector multiplet moduli space. The paper discusses the general form of the supersymmetric magnetic black hole solutions and their interpretation as interpolating solitons. It shows that the solutions can be derived from the Bianchi identities and that the gravitino transformation law leads to a first-order differential equation. The solutions are found to interpolate between maximally symmetric vacua at infinity and the horizon. The authors also show that the space-time geometry can be derived from Kähler geometry, and that the logarithm of the spatial conformal factor is identified with the moduli space Kähler potential. Several examples are discussed, including Calabi-Yau magnetic black holes, massive and massless SU(1,n)/SU(n) supersymmetric white holes, and N = 4, 2 pure supergravity black holes. The authors find that the space-time geometry of these solutions can be described in terms of the Kähler potential and that the logarithm of the spatial conformal factor is identified with the moduli space Kähler potential. The paper concludes that there is a simple relation between the special geometry describing the couplings of scalars and vectors in extended locally supersymmetric theories and the space-time geometry of the black-hole-type solutions in these theories.