Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SEMR_2018_15_a47, author = {L. V. Stepanova and M. B. Banaru and G. A. Banaru}, title = {On geometry of {QS-hypersurfaces} of {K\"ahlerian} manifolds}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {815--822}, publisher = {mathdoc}, volume = {15}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a47/} }
TY - JOUR AU - L. V. Stepanova AU - M. B. Banaru AU - G. A. Banaru TI - On geometry of QS-hypersurfaces of K\"ahlerian manifolds JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2018 SP - 815 EP - 822 VL - 15 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2018_15_a47/ LA - ru ID - SEMR_2018_15_a47 ER -
L. V. Stepanova; M. B. Banaru; G. A. Banaru. On geometry of QS-hypersurfaces of K\"ahlerian manifolds. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 815-822. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a47/
[1] M.B. Banaru, V.F. Kirichenko, “Almost contact metric structures on the hypersurface of almost Hermitian manifolds”, Journal of Mathematical Sciences (New York), 207:4 (2015), 513–537 | DOI | Zbl
[2] A. Gray, L.M. Hervella, “The sixteen classes of almost Hermitian manifolds and their linear invariants”, Ann. Mat. Pura Appl., 123:4 (1980), 35–58 | DOI | MR | Zbl
[3] L.V. Stepanova, “Quasi-Sasakian structures on hypersurfaces of Hermitian manifolds”, Nauchnye Trudy MPGU «V.I. Lenin», 1995, 187–191 (in Russian)
[4] L.V. Stepanova, M.B. Banaru, “On hypersurfaces of quasi-Kählerian manifolds”, Analele Stiintifice ale Universitatii «Al. I. Cuza». Iaşi, 47:1 (2001), 65–70 | MR
[5] A. Abu-Saleem, G.A. Banaru, “On some contact metric structures on hypersurfaces in a Kählerian manifold”, Acta Universitatis Apulensis, 31 (2012), 179–189 | MR | Zbl
[6] M.B. Banaru, “On almost contact metric 1-hypersurfaces in Kählerian manifolds”, Siberian Mathematical Journal, 55:4 (2014), 585–588 | DOI | MR | Zbl
[7] M.B. Banaru, “On almost contact metric 2-hypersurfaces in Kählerian manifolds”, Bulletin of the Transilvania University of Braşov. Series III. Mathematics, Informatics, Physics, 9(58):1 (2016), 1–10 | MR | Zbl
[8] L.V. Stepanova, G.A. Banaru, M.B. Banaru, “On quasi-Sasakian hypersurfaces of Kähler manifolds”, Russian mathematics, 60:1 (2016), 73–75 | DOI | MR | Zbl
[9] V.F. Kirichenko, Differential-geometric structures on manifolds, Pechatnyi Dom, Odessa, 2013 (in Russian)
[10] V.F. Kirichenko, A.R. Rustanov, “Differential geometry of quasi-Sasakian manifolds”, Sbornik: Mathematics, 193:8 (2002), 1173–1201 | DOI | MR | Zbl
[11] A. Abu-Saleem, M.B. Banaru, “Some applications of Kirichenko tensors”, An. Univ. Oradea, Fasc. Mat., 17:2 (2010), 201–208 | MR | Zbl
[12] M.B. Banaru, “On the Gray–Hervella classes of AH-structures on six-dimensional submanifolds of Cayley algebra”, Annuaire de l’universite de Sofia «St. Kl. Ohridski». Math., 95 (2004), 125–131 | MR | Zbl
[13] J. Jost, Riemannian geometry and geometric analysis, Springer, Berlin–Heidelberg–New-York, 2003 | MR
[14] L.V. Stepanova, Contact geometry of hypersurfaces in quasi-Kählerian manifolds, PhD thesis, Moscow State Pedagogical University, 1995 (in Russian)
[15] D.E. Blair, “Contact manifolds in Riemannian geometry”, Lect. Notes Math., 509, 1976, 1–145 | DOI | MR
[16] M.B. Banaru, “On minimality of a Sasakian hypersurface in a $W_3$-manifold”, Saitama Mathematical Journal, 20 (2002), 1–7 | MR | Zbl