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Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 823–828 (Mi semr956)  

Geometry and topology

Contact analogs of Gray's identity for $NC_{10}$-manifolds

A. R. Rustanova, O. N. Kazakovab, S. V. Kharitonovab

a Institute of Fundamental Education of the National Research, Moscow State University of Civil Engineering, Yaroslavskoe highway, 26, 129337, Moscow, Russia
b Orenburg State University, pr. Pobedy, 13, 460018, Orenburg, Russia

Abstract: 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, Kähler manifold, Riemann–Christoffel tensor, identity Gray, $NC_{10}$-manifold.

DOI: https://doi.org/10.17377/semi.2018.15.069

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Bibliographic databases:

Document Type: Article
UDC: 514.76
MSC: 53D15
Received February 15, 2017, published August 1, 2018

Citation: A. R. Rustanov, O. N. Kazakova, S. V. Kharitonova, “Contact analogs of Gray's identity for $NC_{10}$-manifolds”, Sib. Èlektron. Mat. Izv., 15 (2018), 823–828

Citation in format AMSBIB
\Bibitem{RusKazKha18}
\by A.~R.~Rustanov, O.~N.~Kazakova, S.~V.~Kharitonova
\paper Contact analogs of Gray's identity for $NC_{10}$-manifolds
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 823--828
\mathnet{http://mi.mathnet.ru/semr956}
\crossref{https://doi.org/10.17377/semi.2018.15.069}


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