A note on Gray problem
- DOI
- 10.5922/0321-4796-2022-53-2
- Pages
- 13-19
Abstract
We consider posed in 1960s Alfred Gray problem on the existence of a six-dimensional non-Kählerian almost Kählerian manifold.
We study six-dimensional almost Hermitian locally symmetric submanifolds of Ricci type of Cayley algebra (the notion of such six-dimensional submanifolds of the octave algebra was introduced by Vadim Feodorovich Kirichenko).
Our main result is the following: it is proved that a six-dimensional almost Hermitian locally symmetric submanifold of Ricci type of Cayley algebra does not admit a non-Kählerian almost Kählerian structure.
Reference
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