31 citations · 337 across the 52 of their papers we have counts for
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On the curvature properties of real time-like hypersurfaces of Kaehler manifolds with Norden metric
Mancho Manev, Marta Teofilova
A type of almost contact hypersurfaces with Norden metric of a Kaehler manifold with Norden metric is considered. The curvature tensor and the special sectional curvatures are char…
On hypercomplex pseudo-Hermitian manifolds
Kostadin Gribachev, Mancho Manev, Stancho Dimiev
The class of the hypercomplex pseudo-Hermitian manifolds is considered. The flatness of the considered manifolds with the 3 parallel complex structures is proved. Conformal transfo…
A connection with parallel torsion on almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics
Mancho Manev
Almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics are considered. A linear connection is introduced such that the structure of these manifolds is parallel…
Some four-dimensional almost hypercomplex pseudo-Hermitian manifolds
Mancho Manev, Kouei Sekigawa
In this paper, a lot of examples of four-dimensional manifolds with an almost hypercomplex pseudo-Hermitian structure are constructed in several explicit ways. The received 4-manif…
Tangent Bundles with Sasaki Metric and Almost Hypercomplex Pseudo-Hermitian Structure
Mancho Manev
The tangent bundle as a -manifold is equipped with an almost hypercomplex pseudo-Hermitian structure and it is characterized with respect to the relevant classifications. A num…
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…
Quasi-Kaehler manifolds with a pair of Norden metrics
Dimitar Mekerov, Mancho Manev, Kostadin Gribachev
The basic class of the non-integrable almost complex manifolds with a pair of Norden metrics are considered. The interconnections between corresponding quantities at the transforma…
On three-parametric Lie groups as quasi-Kaehler manifolds with Killing Norden metric
Mancho Manev, Kostadin Gribachev, Dimitar Mekerov
A 3-parametric family of 6-dimensional quasi-Kaehler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically. The condition for such…
On 4n-dimensional Lie groups as quasi-Kaehler manifolds with Killing Norden metric
Dimitar Mekerov, Mancho Manev
A 4n-parametric family of 4n-dimensional quasi-Kaehler manifolds with Killing Norden metric is constructed on a Lie group. This family is characterized geometrically.