2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79387We prove that any simply connected special Kaehler manifold admits a canonical immersion as a parabolic affine hypersphere. As an application, we associate a parabolic affine hypersphere to any nondegenerate holomorphic function. Also we show that a classical result of Calabi and Pogorelov on parabolic spheres implies Lu's theorem on complete special Kaehler manifolds with a positive definite metric.5 pagesDifferential Geometry53C26; 53A15text