20 citations · 54 across the 8 of their papers we have counts for
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Holomorphic hypersurfaces of Kaehler manifolds with Norden metric
Georgi Ganchev, Kostadin Gribachev, Vesselka Mihova
We study Kaehlerian manifolds with Norden metric and develop the theory of their holomorphic hypersurfaces with constant totally real sectional curvatures. We prove a classific…
On the Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics
Mancho Manev, Dimitar Mekerov, Kostadin Gribachev
This paper is a survey of results obtained by the authors on the geometry of connections with totally skew-symmetric torsion on the following manifolds: almost complex manifolds wi…
A connection with parallel totally skew-symmetric torsion on a class of almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics
Mancho Manev, Kostadin Gribachev
The subject of investigations are the almost hypercomplex manifolds with Hermitian and anti-Hermitian (Norden) metrics. A linear connection D is introduced such that the structure…
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 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…
Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure
Kostadin Gribachev, Mancho Manev
Almost hypercomplex pseudo-Hermitian manifolds are considered. Isotropic hyper-Kähler manifolds are introduced. A 4-parametric family of 4-dimensional manifolds of this type is con…