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512.548+514.76 (2) |
Algebra (400) |
Differential geometry. Algebraic and analytic methods in geometry (26) |
SM ISO690:2012 BANARU, Mihail, BANARU, Galina. A note on six-dimensional planar Hermitian
submanifolds of Cayley algebra. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 1(74), pp. 23-32. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(74) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.548+514.76 | ||||||
Pag. 23-32 | ||||||
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Rezumat | ||||||
Six-dimensional planar Hermitian submanifolds of Cayley algebra are considered. It is proved that if such a submanifold of the octave algebta satisfies the U-Kenmotsu hypersurfaces axiom, then it is K¨ahlerian. It is also proved that a symmetric non-K¨ahlerian Hermitian six-dimensional submanifold of the Ricci type does not admit totally umbilical Kenmotsu hypersurfaces. |
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Cuvinte-cheie Six-dimensional planar Hermitian submanifolds of Cayley algebra, almost contact metric structure |
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