M. B. Banaru, “Almost contact metric hypersurfaces with type number $0$ or $1$ in nearly-Kählerian manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, Number 3,Pages 60

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Short notes

Almost contact metric hypersurfaces with type number $0$ or $1$ in nearly-Kählerian manifolds

M. B. Banaru

Smolensk State University

Abstract: It is proved that for an almost contact metric hypersurface of nearly-Kählerian manifold the condition for the type number to be equal to 1 or 0 is not only necessary but sufficient for this almost contact metric structure to be nearly cosymplectic.

Key words: almost contact metric structure, nearly cosymplectic structure, type number, hypersurface, nearly Kählerian manifold.

UDC: 513.82

Received: 27.03.2013