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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 10, Pages 13–18
(Mi ivm8936)
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This article is cited in 2 scientific papers (total 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.
Received: 21.03.2013
Citation:
M. B. Banaru, “On almost contact metric hypersurfaces with type number 1 in $6$-dimensional Kählerian submanifolds of Cayley algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 13–18; Russian Math. (Iz. VUZ), 58:10 (2014), 10–14
Linking options:
https://www.mathnet.ru/eng/ivm8936 https://www.mathnet.ru/eng/ivm/y2014/i10/p13
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Abstract page: | 434 | Full-text PDF : | 43 | References: | 38 | First page: | 5 |
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