| Title:
|
On six-dimensional $G_1$-submanifolds of Cayley algebra (English) |
| Author:
|
Banaru, Mihail |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
17-21 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C40 |
| idZBL:
|
Zbl 1059.53045 |
| idMR:
|
MR1904679 |
| . |
| Date available:
|
2009-01-29T15:57:31Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120433 |
| . |
| Reference:
|
[1] Gray A., Hervella L. M.: The sixteen classes of almost Hermitian manifolds and their linear invariant.Ann. Mat., Pure ed Appl. 123, 4 (1980), 35-58. MR 0581924 |
| Reference:
|
[2] Hervella L. M., Vidal E.: Novelles géométries pseudo-Kählériennes G1 et G2.C. R. Acad. Sci. Paris 283 (1976), 115-118. MR 0431008 |
| Reference:
|
[3] Gray A.: Vector cross products on manifolds.Trans. Amer. Math. Soc. 141 (1969), 465-504. Zbl 0182.24603, MR 0243469 |
| Reference:
|
[4] Gray A.: Some examples of almost Hermitian manifolds.Ill. J. Math. 10, 2 (1966), 353-366. Zbl 0183.50803, MR 0190879 |
| Reference:
|
[5] Vaisman I.: On locally conformal almost Kähler manifolds.Israel J. Math. 24 (1976), 338-351. Zbl 0335.53055, MR 0418003 |
| 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] Kirichenko V. F.: Classification of Kählerian structures induced by means of 3-vector cross products on six-dimensional submanifolds of Cayley algebra.Izvestia Vuzov, Kazan, 8 (1980), 32-38. MR 0594496 |
| Reference:
|
[8] Kirichenko V. F.: Rigidity of almost Hermitian structures induced by means of 3-vector cross products on six-dimensional submanifolds of Cayley algebra.Ukrain Geom. Coll. 25 (1982), 60-68. MR 0687202 |
| Reference:
|
[9] Freudenthal H.: Octaves, singular groups and octaves geometry.Coll. Math., Moscow, 1957, 117-153. |
| Reference:
|
[10] Lichnerovicz A.: Théorie globale des connexions et des groupes d’holonomie.Cremonese, Roma, 1955. |
| Reference:
|
[11] Cartan E.: Riemannian geometry in an orthogonal frame.MGU, Moscow, 1960. |
| Reference:
|
[12] Banaru M.: Hermitian geometry of six-dimensional submanifolds of Cayley algebra.MSPU, Moscow, 1993. |
| Reference:
|
[13] Banaru M.: On almost Hermitian structures induced by 3-vector cross products on six-dimensional submanifolds of Cayley algebra.Polyanalytical Functions, Smolensk, 1997, 113-117. |
| . |
