On six-dimensional $G_1$-submanifolds of Cayley algebra
Banaru, Mihail
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 40 (2001), p. 17-21 / Harvested from Czech Digital Mathematics Library
Publié le : 2001-01-01
Classification:  53C40
@article{120433,
     author = {Mihail Banaru},
     title = {On six-dimensional $G\_1$-submanifolds of Cayley algebra},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     volume = {40},
     year = {2001},
     pages = {17-21},
     zbl = {1059.53045},
     mrnumber = {1904679},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120433}
}
Banaru, Mihail. On six-dimensional $G_1$-submanifolds of Cayley algebra. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 40 (2001) pp. 17-21. http://gdmltest.u-ga.fr/item/120433/

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. (1980) | MR 0581924

Hervella L. M.; Vidal E. Novelles géométries pseudo-Kählériennes G1 et G2, C. R. Acad. Sci. Paris 283 (1976), 115-118. (1976) | MR 0431008

Gray A. Vector cross products on manifolds, Trans. Amer. Math. Soc. 141 (1969), 465-504. (1969) | MR 0243469 | Zbl 0182.24603

Gray A. Some examples of almost Hermitian manifolds, Ill. J. Math. 10, 2 (1966), 353-366. (1966) | MR 0190879 | Zbl 0183.50803

Vaisman I. On locally conformal almost Kähler manifolds, Israel J. Math. 24 (1976), 338-351. (1976) | MR 0418003 | Zbl 0335.53055

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. (1973)

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. (1980) | MR 0594496

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. (1982) | MR 0687202

Freudenthal H. Octaves, singular groups and octaves geometry, Coll. Math., Moscow, 1957, 117-153. (1957)

Lichnerovicz A. Théorie globale des connexions et des groupes d’holonomie, Cremonese, Roma, 1955. (1955)

Cartan E. Riemannian geometry in an orthogonal frame, MGU, Moscow, 1960. (1960)

Banaru M. Hermitian geometry of six-dimensional submanifolds of Cayley algebra, MSPU, Moscow, 1993. (1993)

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. (1997)