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.
Smolensk State University
4, Przhevalsky Street, Smolensk – 214 000
Russia
E-mail:
Fulltext
–
0.12 Mb