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It is introduced a differentiable manifold with almost contact 3-structure which consists of an almost contact metric structure and two almost contact B-metric structures. The product of this manifold and a real line is an almost hypercomplex manifold with Hermitian–Norden metrics. It is proven that the introduced manifold of cosymplectic type is flat. Some examples of the studied manifolds are given.

Manifolds with almost contact 3-structure and metrics of Hermitian–Norden type