M. B. Banaru, “The Kenmotsu hypersurfaces axiom for <nobr>$6$</nobr>-dimensional Hermitian submanifolds of the Cayley algebra”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 2,Pages <nobr>261

This article is cited in 2 papers

The Kenmotsu hypersurfaces axiom for $6$-dimensional Hermitian submanifolds of the Cayley algebra

M. B. Banaru

Smolensk State University, Smolensk, Russia

Abstract: We prove that every $6$-dimensional Hermitian submanifold of the Cayley algebra satisfying the Kenmotsu Hypersurfaces Axiom is a locally symmetric submanifold of Ricci type.

Keywords: almost contact complex structure, Kenmotsu structure, $6$-dimensional Hermitian submanifold of the Cayley algebra.

UDC: 513.82

Received: 08.07.2013