16 citations · 39 across the 8 of their papers we have counts for
8 papers
Lie groups as 3-dimensional almost contact B-metric manifolds in two main classes
Miroslava Ivanova
Three-dimensional almost contact B-metric manifolds are constructed by a three-parametric family of Lie groups. It is established the class of the investigated manifolds which has…
Lie groups as 3-dimensional almost contact B-metric manifolds in the main vertical classes
Miroslava Ivanova
Almost contact B-metric manifolds of dimension 3 are constructed by a two-parametric family of Lie groups. The class of these manifolds in a known classification of almost contact…
On some Lie groups as 5-dimensional almost contact B-metric manifolds with three natural connections
Miroslava Ivanova, Hristo Manev
Almost contact manifolds with B-metric are considered. There are studied three natural connections (i.e. linear connections preserving the structure tensors) determined by conditio…
Almost contact B-metric manifolds with curvature tensors of Kähler type
Mancho Manev, Miroslava Ivanova
On 5-dimensional almost contact B-metric manifolds, the form of any Kähler-type tensor (i.e. a tensor satisfying the properties of the curvature tensor of the Levi-Civita connectio…
Natural connections with torsion expressed by the metric tensors on almost contact manifolds with B-metric
Mancho Manev, Miroslava Ivanova
On a main class of the almost contact manifolds with B-metric, it is described the family of the linear connections preserving the manifold's structures by 4 parameters. In this fa…
Canonical-type connection on almost contact manifolds with B-metric
Mancho Manev, Miroslava Ivanova
The canonical-type connection on the almost contact manifolds with B-metric is constructed. It is proved that its torsion is invariant with respect to a subgroup of the general con…
A natural connection on some classes of almost contact manifolds with B-metric
Mancho Manev, Miroslava Ivanova
Almost contact manifolds with B-metric are considered. A special linear connection is introduced, which preserves the almost contact B-metric structure on these manifolds. This con…
A classification of the torsion tensors on almost contact manifolds with B-metric
Mancho Manev, Miroslava Ivanova
The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to th…