M. B. Banaru, “On almost contact metric hypersurfaces with type number $1$ or $0$ in $6$-dimensional Hermitian submanifolds of the Cayley algebra”, Sibirsk. Mat. Zh., 2017, Volume 58, Number 4,Pages 721

On almost contact metric hypersurfaces with type number $1$ or $0$ in $6$-dimensional Hermitian submanifolds of the Cayley algebra

M. B. Banaru

Smolensk State University, Smolensk, Russia

Abstract: We prove that, in a $6$-dimensional Hermitian submanifold of the Cayley algebra, almost contact metric structures are identical on a hypersurface with type number $0$ and on a hypersurface with type number $1$.

Keywords: almost contact metric structure, hypersurface, type number, 6-dimensional Hermitian submanifold, Cayley algebra.

UDC: 514.76

MSC: 35R30

Received: 30.08.2016

DOI: 10.17377/smzh.2017.58.401