| Title:
|
On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra (English) |
| Author:
|
Banaru, Mihail |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
(7)-12 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C10 |
| MSC:
|
53C15 |
| MSC:
|
53C40 |
| MSC:
|
58C05 |
| idZBL:
|
Zbl 1066.53058 |
| idMR:
|
MR1967334 |
| . |
| Date available:
|
2009-01-29T16:01:56Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120442 |
| . |
| Reference:
|
[1] Goldberg S.: Totally geodesic hypersurfaces of Kaehler manifolds.Pacif. J. Math. 27, 2 (1968), 275-281. Zbl 0165.24802, MR 0236847 |
| Reference:
|
[2] Tashiro Y.: On contact structure of hypersurfaces in complex manifolds.Töhoku Math. J. 15, 1 (1963), 62-78. Zbl 0126.38003, MR 0146760 |
| Reference:
|
[3] Kirichenko V. F., Stepanova L. V.: Geometry of hypersurfaces of quasi-Kählerian manifolds.Uspehi Mat. Nauk 2 (1995), 213-214. Zbl 0866.53042, MR 1339272 |
| Reference:
|
[4] Stepanova L. V.: Contact geometry of hypersurfaces of quasi-Kählerian manifolds.MSPU "V. I. Lenin", Moscow, 1995. |
| Reference:
|
[5] Gray A.: Vector cross products on manifolds.Trans. Amer. Math. Soc. 141 (1969), 465-504. Zbl 0182.24603, MR 0243469 |
| Reference:
|
[6] Kirichenko V. F.: On nearly-Kählerian structures induced by means of 3-vector cross products on six-dimensional submanifolds of Cayley algebra.Vestnik MGU 3 (1973), 70-75. |
| Reference:
|
[7] Blair D. E.: The theory of quasi-Sasakian structures.J. Diff. Geom. 1 (1967), 331-345. Zbl 0163.43903, MR 0226538 |
| Reference:
|
[8] Stepanova L. V.: Quasi-Sasakian structure on hypersurfaces of Hermitian manifolds.Scien. Works of MSPU "V. I. Lenin", 1995, 187-191. |
| Reference:
|
[9] Banaru M.: Hermitian geometry of six-dimensional submanifolds of Cayley algebra.MSPU "V. I. Lenin", Moscow, 1993. |
| Reference:
|
[10] Kirichenko V. F.: Methods of the generalized Hermitian geometry in the theory of almost contact metric manifolds.Problems of Geometry 18 (1986), 25-71. MR 0895367 |
| Reference:
|
[11] Gray A.: Some examples of almost Hermitian manifolds.III. J. Math. 10, 2 (1966), 353-366. Zbl 0183.50803, MR 0190879 |
| Reference:
|
[12] Cartan E.: Riemannian geometry in an orthogonal frame.MGU, Moscow, 1960. |
| Reference:
|
[13] Lichnerowicz A.: Théory globale des connexions et des groupes ďholonomie.Cremonese, Roma, 1955. |
| . |
