RUS  ENG
Full version
JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

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

This article is cited 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.

UDC: 514.76

MSC: 53D15

Received February 15, 2017, published August 1, 2018

DOI: 10.17377/semi.2018.15.069



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024