Geodesic
Almost contact metric hypersurfaces with small type numbers in $W_4$-manifolds
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2018), pp. 67-70

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It is proved that in a $W_4$-manifold, the almost contact metric structures on a hypersurface with type number 1 and on a hypersurface with type number 0 are identical. 
@article{VMUMM_2018_1_a10,
     author = {M. B. Banaru},
     title = {Almost contact metric hypersurfaces with small type numbers in $W_4$-manifolds},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {67--70},
     publisher = {mathdoc},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_1_a10/}
}
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M. B. Banaru. Almost contact metric hypersurfaces with small type numbers in $W_4$-manifolds. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2018), pp. 67-70. http://geodesic.mathdoc.fr/item/VMUMM_2018_1_a10/