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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2018 Volume 15, Pages 815–822 (Mi semr955)

This article is cited in 3 papers

Geometry and topology

On geometry of QS-hypersurfaces of Kählerian manifolds

L. V. Stepanovaa, M. B. Banarub, G. A. Banarub

a Russian Open Transport Academy, ul. Chasovaya, 22/2, 125993, Moskow, Russia
b Smolensk State University, ul. Przhevalskogo, 4, 214000, Smolensk, Russia

Abstract: Almost contact metric structures are induced on any oriented hypersurface of an almost Hermitian manifold. In this paper, we study the case when the almost Hermitian manifold is Kählerian and the almost contact structure on its hypersurface is quasi-Sasakian. Some theorems on geometry of quasi-Sasakian hypersurfaces of a Kählerian manifold are proved.

Keywords: almost contact metric structure, quasi-Sasakian structure, type number, hypersurface, Kählerian manifold.

UDC: 514.76

MSC: 53B35

Received February 21, 2017, published August 1, 2018

DOI: 10.17377/semi.2018.15.068



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