Abstract:
In this paper we investigate the integrability properties of $NC_{10}$-manifolds. In particular, it is shown that the integrable $NC_{10}$-structure, and also the normal $NC_{10}$-structure, is cosymplectic. It is shown that $NC_{10}$-structure with a closed contact form is finer than cosymplectic. Local structures of investigated manifolds are given.
Keywords:cosymplectic structure, integrable structure, approximately Kähler manifold, finitely cosymplectic structure, Nijenhuis tensor, normal structure, $NC_{10}$-manifold.
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