On six-dimensional G 1 -submanifolds of Cayley algebra

Mihail Banaru

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2001)

  • Volume: 40, Issue: 1, page 17-21
  • ISSN: 0231-9721

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Banaru, Mihail. "On six-dimensional $G_1$-submanifolds of Cayley algebra." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 40.1 (2001): 17-21. <http://eudml.org/doc/23712>.

@article{Banaru2001,
author = {Banaru, Mihail},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Hermitian structures; octave algebra},
language = {eng},
number = {1},
pages = {17-21},
publisher = {Palacký University Olomouc},
title = {On six-dimensional $G_1$-submanifolds of Cayley algebra},
url = {http://eudml.org/doc/23712},
volume = {40},
year = {2001},
}

TY - JOUR
AU - Banaru, Mihail
TI - On six-dimensional $G_1$-submanifolds of Cayley algebra
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2001
PB - Palacký University Olomouc
VL - 40
IS - 1
SP - 17
EP - 21
LA - eng
KW - Hermitian structures; octave algebra
UR - http://eudml.org/doc/23712
ER -

References

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  2. Hervella L. M., Vidal E., Novelles géométries pseudo-Kählériennes G1 et G2, C. R. Acad. Sci. Paris 283 (1976), 115-118. (1976) MR0431008
  3. Gray A., Vector cross products on manifolds, Trans. Amer. Math. Soc. 141 (1969), 465-504. (1969) Zbl0182.24603MR0243469
  4. Gray A., Some examples of almost Hermitian manifolds, Ill. J. Math. 10, 2 (1966), 353-366. (1966) Zbl0183.50803MR0190879
  5. Vaisman I., On locally conformal almost Kähler manifolds, Israel J. Math. 24 (1976), 338-351. (1976) Zbl0335.53055MR0418003
  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. (1973) 
  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. (1980) MR0594496
  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. (1982) MR0687202
  9. Freudenthal H., Octaves, singular groups and octaves geometry, Coll. Math., Moscow, 1957, 117-153. (1957) 
  10. Lichnerovicz A., Théorie globale des connexions et des groupes d’holonomie, Cremonese, Roma, 1955. (1955) 
  11. Cartan E., Riemannian geometry in an orthogonal frame, MGU, Moscow, 1960. (1960) 
  12. Banaru M., Hermitian geometry of six-dimensional submanifolds of Cayley algebra, MSPU, Moscow, 1993. (1993) 
  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. (1997) 

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