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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 5, Pages 981–991 (Mi smj1246)  
This article is cited in 11 scientific papers (total in 11 papers)

The type number of the cosymplectic hypersurfaces of 6-dimensional Hermitian submanifolds of the Cayley algebra

M. B. Banaru

Smolensk Humanitarian University
Full-text PDF (211 kB) Citations (11)
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Abstract: We study the 6-dimensional oriented submanifolds of the Cayley algebra which are endowed with the Hermitian structure induced by 3-folds vector cross products. We prove that the type number of a cosymplectic hypersurface of a 6-dimensional Hermitian submanifold of the Cayley algebra is at most 3 and that a 6-dimensional Kaehler submanifold of the octave algebra has no cosymplectic hypersurfaces with the type number greater than one.
Keywords: Cayley algebra, Hermitian manifold, hypersurface, cosymplectic structure, type number.
Received: 20.11.2001
Revised: 23.09.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 5, Pages 765–773
DOI: https://doi.org/10.1023/A:1025972300297
Bibliographic databases:
UDC: 513.82
Language: Russian
Citation: M. B. Banaru, “The type number of the cosymplectic hypersurfaces of 6-dimensional Hermitian submanifolds of the Cayley algebra”, Sibirsk. Mat. Zh., 44:5 (2003), 981–991; Siberian Math. J., 44:5 (2003), 765–773
Citation in format AMSBIB
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\jour Siberian Math. J.
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\issue 5
\pages 765--773
\crossref{https://doi.org/10.1023/A:1025972300297}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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