Lie groups as four-dimensional special complex manifolds with Norden   metric
  An example of a four-dimensional special complex manifold with Norden metric of constant holomorphic sectional curvature is constructed via a two-parametric family of solvable Lie algebras. The curvature properties of the obtained manifold are studied. Necessary and sufficient conditions for the manifold to be isotropic K\"ahlerian are given. 
Marta Teofilova
math.DG