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Canonical connection on quasi-Kaehler manifolds with Norden metric
Dimitar Mekerov
We study the geometry of the canonical connection on a quasi-Kaehler manifold with Norden metric. We consider the cases when the canonical connection has Kaehler curvature tensor a…
A connection with skew symmetric torsion and Kähler curvature tensor on quasi-Kähler manifolds with Norden metric
Dimitar Mekerov
There is considered a connection with skew symmetric torsion on a quasi-Kähler manifold with Norden metric. Some necessary and sufficient conditions are derived for the correspondi…
Lie groups as 4-dimensional Riemannian or pseudo-Riemannian almost product manifolds with nonintegrable structure
Dimitar Mekerov
A Lie group as a 4-dimensional pseudo-Riemannian manifold is considered. This manifold is equipped with an almost product structure and a Killing metric in two ways. In the first c…
On the geometry of the -connection on quasi-Kähler manifolds with Norden metric
Dimitar Mekerov
The -connection on almost complex manifolds with Norden metric is an analogue of the first canonical connection of Lihnerovich in Hermitian geometry. In the present paper it is…
On the geometry of quasi-Kaehler manifolds with Norden metric
Dimitar Mekerov, Mancho Manev
The basic class of the non-integrable almost complex manifolds with Norden metric is considered. Its curvature properties are studied. The isotropic Kaehler type of investigated ma…
A Lie group as a 4-dimensional quasi-Kaehler manifold with Norden metric
Kostadin Gribachev, Mancho Manev, Dimitar Mekerov
A 4-parametric family of 4-dimensional quasi-Kaehler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically. The condition for such…