M. B. Banaru, “On almost contact metric <nobr>$1$</nobr>-hypersurfaces in Kählerian manifolds”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 4,Pages <nobr>719

This article is cited in 11 papers

On almost contact metric $1$-hypersurfaces in Kählerian manifolds

M. B. Banaru

Smolensk State University, Smolensk, Russia

Abstract: We prove that an almost contact metric structure on an orientable hypersurface with type number 1 in a Kählerian manifold is necessarily cosymplectic.

Keywords: almost contact metric structure, cosymplectic structure, type number, hypersurface, Kählerian manifold.

UDC: 513.82

Received: 02.09.2013