Lie groups as four-dimensional special complex manifolds with Norden metric

Details Lie groups as four-dimensional special complex manifolds with Norden metric Lie groups as four-dimensional special complex manifolds with Norden metric

2011-04-28

arxiv.org/abs/1104.5349v1

Math. Educ. Math., Proc. of 39th Spring Conference of UBM, Albena, 06-11.04.2010, 154-159

Mathematics

Differential Geometry

Scientific paper

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.

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