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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 5, Pages 981–991
(Mi smj1246)
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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
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
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
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https://www.mathnet.ru/eng/smj1246 https://www.mathnet.ru/eng/smj/v44/i5/p981
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Abstract page: | 337 | Full-text PDF : | 92 | References: | 66 |
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