Geodesic
On hypersurfaces with Kirichenko--Uskorev structure in K\"ahlerian manifolds
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1715-1721.

Voir la notice de l'article provenant de la source Math-Net.Ru

Some criteria of minimality of a hypersurfaces of a Kählerian manifold, equipped with an almost contact metric structure of cosymplectic type, are established. It is proved that a minimal hypersurfaces of a Kählerian manifold, equipped with an almost contact metric Kirichenko–Uskorev structure, is totally umbilical if and only it is totally geodesic.
Keywords: Kählerian manifold, almost contact metric structure, second fundamental form.
Mots-clés : Kirichenko–Uskorev structure, minimal hypersurface 
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M. B. Banaru; G. A. Banaru. On hypersurfaces with Kirichenko--Uskorev structure in K\"ahlerian manifolds. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1715-1721. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a59/

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