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This article is cited in 1 scientific paper (total in 1 paper)
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.
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
Linking options:
https://www.mathnet.ru/eng/semr956 https://www.mathnet.ru/eng/semr/v15/p823
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