Geodesic
The axiom of cosymplectic surfaces and $W_4$-manifolds
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 34-37

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An almost Hermitian manifold satisfies the cosymplectic $t$-hypersurfaces axiom, if a cosymplectic hypersurface with type number $t$ passes through every its point. It is proved that if an arbitrary $W_4$-manifold satisfies the cosymplectic $t$-hypersurfaces axiom with $t\leq1$, then this manifold is Kählerian. 
@article{VMUMM_2015_5_a5,
     author = {M. B. Banaru},
     title = {The axiom of cosymplectic surfaces and $W_4$-manifolds},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {34--37},
     publisher = {mathdoc},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_5_a5/}
}
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M. B. Banaru. The axiom of cosymplectic surfaces and $W_4$-manifolds. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 34-37. http://geodesic.mathdoc.fr/item/VMUMM_2015_5_a5/