%0 Journal Article
%T Realisation of special Kaehler manifolds as parabolic spheres
%A Oliver Baues
%A Vicente Cort¨¦s
%J Mathematics
%D 1999
%I arXiv
%X We 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.
%U http://arxiv.org/abs/math/9911079v1