Geodesic
On quasi-Sasakian hypersurfaces of Kählerian manifolds
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2016), pp. 86-89 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We establish several conditions which are necessary for quasi-Sasakian hypersurfaces of a Kählerian manifold to be minimal.
Keywords: almost contact metric structure, type number, Kählerian manifold.
Mots-clés : quasi-Sasakian structure, hypersurface 
@article{IVM_2016_1_a8,
     author = {L. V. Stepanova and G. A. Banaru and M. B. Banaru},
     title = {On {quasi-Sasakian} hypersurfaces of {K\"ahlerian} manifolds},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--89},
     year = {2016},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_1_a8/}
}
TY  - JOUR
AU  - L. V. Stepanova
AU  - G. A. Banaru
AU  - M. B. Banaru
TI  - On quasi-Sasakian hypersurfaces of Kählerian manifolds
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 86
EP  - 89
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_1_a8/
LA  - ru
ID  - IVM_2016_1_a8
ER  - 
%0 Journal Article
%A L. V. Stepanova
%A G. A. Banaru
%A M. B. Banaru
%T On quasi-Sasakian hypersurfaces of Kählerian manifolds
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 86-89
%N 1
%U http://geodesic.mathdoc.fr/item/IVM_2016_1_a8/
%G ru
%F IVM_2016_1_a8
L. V. Stepanova; G. A. Banaru; M. B. Banaru. On quasi-Sasakian hypersurfaces of Kählerian manifolds. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2016), pp. 86-89. http://geodesic.mathdoc.fr/item/IVM_2016_1_a8/

[1] Stepanova L. V., “Kvazisasakieva struktura na giperpoverkhnostyakh ermitovykh mnogoobrazii”, Nauchn. tr. MPGU im. V. I. Lenina, 1995, 187–191

[2] Stepanova L. V., Banaru M. B., “On hypersurfaces of quasi-Kählerian manifolds”, Analele Stiintifice ale Universitatii “Al. I. Cuza” Iasi, 47:1 (2001), 65–70 | MR

[3] Abu-Saleem A., Banaru G. A., “On some contact metric structures on hypersurfaces in a Kählerian manifold”, Acta Univ. Apulensis Math. Inform., 31 (2012), 179–189 | MR | Zbl

[4] Banaru M. B., “O pochti kontaktnykh metricheskikh $1$-giperpoverkhnostyakh kelerovykh mnogoobrazii”, Sib. matem. zhurn., 55:4 (2014), 719–723 | MR | Zbl

[5] Kirichenko V. F., Differentsialno-geometricheskie struktury na mnogoobraziyakh, Pechatn. dom, Odessa, 2013

[6] Kirichenko V. F., Rustanov A. R., “Differentsialnaya geometriya kvazisasakievykh mnogoobrazii”, Matem. sb., 193:8 (2002), 71–100 | DOI | MR | Zbl

[7] Banaru M., “On minimality of a Sasakian hypersurface in a $W_3$-manifold”, Saitama Math. J., 20 (2002), 1–7 | MR | Zbl

[8] Banaru M. B., “O sasakievykh giperpoverkhnostyakh $6$-mernykh ermitovykh podmnogoobrazii algebry Keli”, Matem. sb., 194:8 (2003), 13–24 | DOI | MR | Zbl

[9] Blair D. E., Contact manifolds in Riemannian geometry, Lect. Notes Math., 509, 1976 | MR | Zbl