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IMI/Publicaţii/BASM/Ediţii/BASM n.1 (74), 2014/

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

Authors: Mihail B.Banaru, Galina A.Banaru

Abstract

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 Kählerian. It is also proved that a symmetric non-Kählerian Hermitian six-dimensional submanifold of the Ricci type does not admit totally umbilical Kenmotsu hypersurfaces.

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