Geodesic
Almost contact metric hypersurfaces with type number $0$ or $1$ in nearly-K\"ahlerian manifolds
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 60-62

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It is proved that for an almost contact metric hypersurface of nearly-Kählerian manifold the condition for the type number to be equal to 1 or 0 is not only necessary but sufficient for this almost contact metric structure to be nearly cosymplectic. 
@article{VMUMM_2014_3_a10,
     author = {M. B. Banaru},
     title = {Almost contact metric hypersurfaces with type number $0$ or $1$ in {nearly-K\"ahlerian} manifolds},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {60--62},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a10/}
}
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M. B. Banaru. Almost contact metric hypersurfaces with type number $0$ or $1$ in nearly-K\"ahlerian manifolds. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 60-62. http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a10/