Geodesic
Integrability properties of $NC_{10}$-manifolds
Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 20 (2017) no. 5, pp. 32-38

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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, $NC_{10}$-manifold.
Mots-clés : normal structure 
@article{VVGUM_2017_20_5_a3,
     author = {A. R. Rustanov},
     title = {Integrability properties of $NC_{10}$-manifolds},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {32--38},
     publisher = {mathdoc},
     volume = {20},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2017_20_5_a3/}
}
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A. R. Rustanov. Integrability properties of $NC_{10}$-manifolds. Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 20 (2017) no. 5, pp. 32-38. http://geodesic.mathdoc.fr/item/VVGUM_2017_20_5_a3/