On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra

Mihail Banaru

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page (7)-12
  • ISSN: 0231-9721

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Banaru, Mihail. "On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): (7)-12. <http://eudml.org/doc/23721>.

@article{Banaru2002,
author = {Banaru, Mihail},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
language = {eng},
number = {1},
pages = {(7)-12},
publisher = {Palacký University Olomouc},
title = {On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra},
url = {http://eudml.org/doc/23721},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Banaru, Mihail
TI - On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - (7)
EP - 12
LA - eng
UR - http://eudml.org/doc/23721
ER -

References

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  3. Kirichenko V. F., Stepanova L. V., Geometry of hypersurfaces of quasi-Kählerian manifolds, Uspehi Mat. Nauk 2 (1995), 213-214. (1995) Zbl0866.53042MR1339272
  4. Stepanova L. V., Contact geometry of hypersurfaces of quasi-Kählerian manifolds, MSPU "V. I. Lenin", Moscow, 1995. (1995) 
  5. Gray A., Vector cross products on manifolds, Trans. Amer. Math. Soc. 141 (1969), 465-504. (1969) Zbl0182.24603MR0243469
  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. Blair D. E., The theory of quasi-Sasakian structures, J. Diff. Geom. 1 (1967), 331-345. (1967) Zbl0163.43903MR0226538
  8. Stepanova L. V., Quasi-Sasakian structure on hypersurfaces of Hermitian manifolds, Scien. Works of MSPU "V. I. Lenin", 1995, 187-191. (1995) 
  9. Banaru M., Hermitian geometry of six-dimensional submanifolds of Cayley algebra, MSPU "V. I. Lenin", Moscow, 1993. (1993) 
  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. (1986) MR0895367
  11. Gray A., Some examples of almost Hermitian manifolds, III. J. Math. 10, 2 (1966), 353-366. (1966) Zbl0183.50803MR0190879
  12. Cartan E., Riemannian geometry in an orthogonal frame, MGU, Moscow, 1960. (1960) 
  13. Lichnerowicz A., Théory globale des connexions et des groupes ďholonomie, Cremonese, Roma, 1955. (1955) 

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