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Geometry of 6-Dimensional Hermitian Manifolds of the Octave Algebra

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Abstract

This paper is a survey of recent results in the geometry of 6-dimensional Hermitian manifolds of Cayley algebras. We describe Gray–Hervella classes of almost Hermitian structures on 6-dimensional oriented submanifolds of Cayley algebras and propose a characterization of these in terms of the Kirichenko tensors and the configuration tensor.

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    M. B. Banaru

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 126, Geometry, 2013.

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Banaru, M.B. Geometry of 6-Dimensional Hermitian Manifolds of the Octave Algebra. J Math Sci 207, 354–388 (2015). https://doi.org/10.1007/s10958-015-2377-6

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