Lie groups as four-dimensional special complex manifolds with Norden metric
Differential Geometry
2011-04-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1104.5349,
title = {Lie groups as four-dimensional special complex manifolds with Norden metric},
author = {Marta Teofilova},
journal= {arXiv preprint arXiv:1104.5349},
year = {2011}
}