Ahmad Abu-Saleem, Mihail B. Banaru, Galina A. Banaru, Lidia V. Stepanova, “Quasi-Kählerian manifolds and quasi-Sasakian hypersurfaces axiom”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, Number 2,Pages <nobr>68

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Research articles

Quasi-Kählerian manifolds and quasi-Sasakian hypersurfaces axiom

Ahmad Abu-Saleem^a, Mihail B. Banaru^b, Galina A. Banaru^b, Lidia V. Stepanova^c

^a Department of Mathematics Al al-Bayt University, Marfaq JORDAN
^b Smolensk State University, 4, Przhevalsky Street, Smolensk – 214 000 RUSSIA
^c Smolensk Physical and Mathematical Lyceum under MIFI, 5, Pamfilov Street, Smolensk – 214 018 RUSSIA

Abstract: It is proved that if a quasi-Kählerian manifold satisfies the quasi-Sasakian hypersurfaces axiom, then it is an almost Kahlerian manifold.

Keywords and phrases: almost contact metric structure, quasi-Sasakian structure, hypersurface, almost Hermitian manifold, quasi-Kählerian manifold, almost Kählerian manifold.

MSC: 53B35, 53B50

Received: 05.04.2020

Language: English