Geodesic
Lie Groups as Four-Dimensional Special Complex Manifolds with Norden Metric
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 154-159.

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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 Kählerian are given. *2000 Mathematics Subject Classification: 53C15, 53C50.
Keywords: Almost Complex Manifold, Norden Metric, Lie Group, Lie Algebra 
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Teofilova, Marta. Lie Groups as Four-Dimensional Special Complex Manifolds with Norden Metric. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 154-159. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a13/