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math.DG2012★ 2 cited
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…
math.DG2012
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…
math.DG2012★ 11 cited
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…