This paper explores the classical supersymmetric solutions of N = 2 supergravity coupled to vector multiplets, focusing on extremal magnetic black holes. The authors show that these black hole solutions can be described as supersymmetric solitons interpolating between maximally symmetric limiting solutions at spatial infinity and the horizon. A simple exact solution is found for the special case where the ratios of the vector multiplets are real, and it is observed that the logarithm of the conformal factor of the spatial metric equals the Kähler potential on the vector multiplet moduli space. The paper discusses several examples in detail, including Calabi-Yau magnetic black holes, massive and massless SU(1,n)/SU(n) supersymmetric white holes, and SO(2,1)/SO(2) × SO(2,n)/SO(2,n) BPS states. The authors also analyze N = 4,2 pure supergravity black holes from a Kähler geometry perspective, providing insights into the relationship between special geometry and the space-time geometry of black-hole solutions.This paper explores the classical supersymmetric solutions of N = 2 supergravity coupled to vector multiplets, focusing on extremal magnetic black holes. The authors show that these black hole solutions can be described as supersymmetric solitons interpolating between maximally symmetric limiting solutions at spatial infinity and the horizon. A simple exact solution is found for the special case where the ratios of the vector multiplets are real, and it is observed that the logarithm of the conformal factor of the spatial metric equals the Kähler potential on the vector multiplet moduli space. The paper discusses several examples in detail, including Calabi-Yau magnetic black holes, massive and massless SU(1,n)/SU(n) supersymmetric white holes, and SO(2,1)/SO(2) × SO(2,n)/SO(2,n) BPS states. The authors also analyze N = 4,2 pure supergravity black holes from a Kähler geometry perspective, providing insights into the relationship between special geometry and the space-time geometry of black-hole solutions.