Geodesic
Contact analogs of Gray's identity for $NC_{10}$-manifolds
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 823-828 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider contact analogues of Gray identities for almost contact metric manifolds class $NC_{10}$. It is proved that every $NC_{10}$-manifold is a manifold of class $CR_3$. We obtain a local structure $NC_{10}$-manifolds class $CR_1$ and $CR_2$.
Keywords: a cosymplectic structure, exact cosymplectic manifold, Riemann–Christoffel tensor, identity Gray, $NC_{10}$-manifold.
Mots-clés : Kähler manifold 
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     author = {A. R. Rustanov and O. N. Kazakova and S. V. Kharitonova},
     title = {Contact analogs of {Gray's} identity for $NC_{10}$-manifolds},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {823--828},
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}
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A. R. Rustanov; O. N. Kazakova; S. V. Kharitonova. Contact analogs of Gray's identity for $NC_{10}$-manifolds. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 823-828. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a48/

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