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This article is cited in 3 scientific papers (total 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.
Received February 21, 2017, published August 1, 2018
Citation:
L. V. Stepanova, M. B. Banaru, G. A. Banaru, “On geometry of QS-hypersurfaces of Kählerian manifolds”, Sib. Èlektron. Mat. Izv., 15 (2018), 815–822
Linking options:
https://www.mathnet.ru/eng/semr955 https://www.mathnet.ru/eng/semr/v15/p815
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