A note on six-dimensional planar Hermitian
submanifolds of Cayley algebra

Banaru Mihail; Banaru Galina

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BANARU, Mihail, BANARU, Galina. A note on six-dimensional planar Hermitian submanifolds of Cayley algebra. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica, 2014, nr. 1(74), pp. 23-32. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Moldovei. Matematica

Numărul 1(74) / 2014 / ISSN 1024-7696

A note on six-dimensional planar Hermitian submanifolds of Cayley algebra

CZU: 512.548+514.76

Pag. 23-32

Banaru Mihail, Banaru Galina

Smolensk State University

Disponibil în IBN: 18 iunie 2014

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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.

Cuvinte-cheie
Six-dimensional planar Hermitian submanifolds of Cayley algebra,

almost contact metric structure

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