Geodesic
On almost contact metric hypersurfaces with type number~1 in $6$-dimensional K\"ahlerian submanifolds of Cayley algebra
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 13-18

Voir la notice de l'article provenant de la source Math-Net.Ru

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, six-dimensional Kählerian submanifold of Cayley algebra.
Mots-clés : hypersurface 
@article{IVM_2014_10_a1,
     author = {M. B. Banaru},
     title = {On almost contact metric hypersurfaces with type number~1 in $6$-dimensional {K\"ahlerian} submanifolds of {Cayley} algebra},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {13--18},
     publisher = {mathdoc},
     number = {10},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_10_a1/}
}
TY  - JOUR
AU  - M. B. Banaru
TI  - On almost contact metric hypersurfaces with type number~1 in $6$-dimensional K\"ahlerian submanifolds of Cayley algebra
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2014
SP  - 13
EP  - 18
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2014_10_a1/
LA  - ru
ID  - IVM_2014_10_a1
ER  - 
%0 Journal Article
%A M. B. Banaru
%T On almost contact metric hypersurfaces with type number~1 in $6$-dimensional K\"ahlerian submanifolds of Cayley algebra
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2014
%P 13-18
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2014_10_a1/
%G ru
%F IVM_2014_10_a1
M. B. Banaru. On almost contact metric hypersurfaces with type number~1 in $6$-dimensional K\"ahlerian submanifolds of Cayley algebra. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 13-18. http://geodesic.mathdoc.fr/item/IVM_2014_10_a1/