This article is cited in 2 papers

On almost contact metric hypersurfaces with type number 1 in $6$-dimensional Kählerian submanifolds of Cayley algebra

M. B. Banaru

Chair of Mathematics and Information Science, Smolensk State University, 4 Przheval'skii str., Smolensk, 214000 Russia

Abstract: We prove that for an almost contact metric hypersurface of a six-dimensional Kählerian submanifold of Cayley algebra the condition for the type number to be equal to 0 or 1 is not only necessary but sufficient for this almost contact metric structure to be cosymplectic.

Keywords: almost contact metric structure, cosymplectic structure, type number, hypersurface, six-dimensional Kählerian submanifold of Cayley algebra.

UDC: 514.764

Received: 21.03.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:10, 10–14

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