The Type Number of the Cosymplectic Hypersurfaces of 6-Dimensional Hermitian Submanifolds of the Cayley Algebra |
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Authors: | Banaru M. B. |
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Affiliation: | (1) Smolensk Humanitarian University, Russia |
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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. |
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Keywords: | Cayley algebra Hermitian manifold hypersurface cosymplectic structure type number |
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