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The object of investigations are almost contact B-metric manifolds which arederived as a product of a real line and a 2-dimensional manifold equipped witha complex structure and a Norden metric. There are used two different methodsfor generation of the B-metric on the product manifold. The constructedmanifolds are characterised with respect to the Ganchev-Mihova-Gribachevclassification and their basic curvature properties.

Almost contact B-metric manifolds as extensions of a 2-dimensional space-form