Abstract
Six-dimensional planar Hermitian submanifolds of the Octonian are considered. It is proved that if such a submanifold of the octave algebra satisfies the -cosymplectic hypersurfaces axiom, then it is Kählerian.
Acknowledgments
The authors sincerely thank Professor Lidia Vasil’evna Stepanova (Smolensk Branch of Moscow State University of Railway Engineering) for the useful discussion on the subject of this paper. The authors are indebted to the anonymous Referee for his very valuable suggestions.
Citation
Mihail B. Banaru. Galina A. Banaru. "-cosymplectic hypersurfaces axiom and six-dimensional planar Hermitian submanifolds of the Octonian." SUT J. Math. 51 (1) 1 - 9, June 2015. https://doi.org/10.55937/sut/1439803479
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