ON SIX-DIMENSIONAL HERMITIAN SUBMANIFOLDS OF CAYLEY ALGEBRA SATISFYING THE $G$-COSYMPLECTIC HYPERSURFACES AXIOM

TitleON SIX-DIMENSIONAL HERMITIAN SUBMANIFOLDS OF CAYLEY ALGEBRA SATISFYING THE $G$-COSYMPLECTIC HYPERSURFACES AXIOM
Publication TypeJournal Article
Year of Publication2002
AuthorsBanaru M
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume94
Pagination91-96
ISSN0205-0808
Keywords$g$-cosymplectic hypersurfaces axiom, almost contact metric structure, cosymplectic structure, Hermitian manifold
Abstract

It is proved that the six-dimensional Hermitian submanifolds of Cayley algebra, satisfying the $g$-cosymplectic hypersurfaces axiom, are $K\ddot{a}hlerian$ manifolds.

2000 MSC

53C10, 58C05

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