Mihail B. Banaru, Galina A. Banaru, Tatiana L. Melekhina, “A note on almost contact metric $2$- and $3$-hypersurfaces in $W_4$-manifolds”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, Number 1,Pages 103

This article is cited in 1 paper

A note on almost contact metric $2$- and $3$-hypersurfaces in $W_4$-manifolds

Mihail B. Banaru^a, Galina A. Banaru^a, Tatiana L. Melekhina^b

^a Smolensk State University 4, Przhevalsky Street, Smolensk – 214 000, Russia
^b Financial University under the Government of the Russian Federation 49, Leningradsky Prospekt, Moscow, 125993, GSP-3

Abstract: It is proved that $2$-hypersurfaces and $3$-hypersurfaces of $W_4$-manifolds admit identical almost contact metric structures.

Keywords and phrases: almost contact metric structure, structure of cosymplectic type, almost Hermitian manifold, $W_4$-manifold, locally conformal Kählerian manifold, type number.

MSC: 53B35, 53B50

Received: 14.02.2019

Language: English