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 
@article{SEMR_2020_17_a59,
     author = {M. B. Banaru and G. A. Banaru},
     title = {On hypersurfaces with {Kirichenko--Uskorev} structure in {K\"ahlerian} manifolds},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1715--1721},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a59/}
}
TY  - JOUR
AU  - M. B. Banaru
AU  - G. A. Banaru
TI  - On hypersurfaces with Kirichenko--Uskorev structure in K\"ahlerian manifolds
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2020
SP  - 1715
EP  - 1721
VL  - 17
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2020_17_a59/
LA  - ru
ID  - SEMR_2020_17_a59
ER  - 
%0 Journal Article
%A M. B. Banaru
%A G. A. Banaru
%T On hypersurfaces with Kirichenko--Uskorev structure in K\"ahlerian manifolds
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2020
%P 1715-1721
%V 17
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2020_17_a59/
%G ru
%F SEMR_2020_17_a59
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/