Three theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the Cayley algebra

Ahmad Al-Othman and M. Banaru

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-8

Abstract:

It is proved that cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the octave algebra are ruled manifolds. A necessary and sufficient condition for a cosymplectic hypersurface of a Hermitian submanifold M 6 ⊂ O to be a minimal submanifold of M 6 is established. It is also proved that a six-dimensional Hermitian submanifold M 6 ⊂ O satisfying the g -cosymplectic hypersurfaces axiom is a Kählerian manifold.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/124381.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/124381.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:124381

DOI: 10.1155/S0161171203206190

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().