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Moscow Mathematical Journal, 2012, Volume 12, Number 4, Pages 765–769
DOI: https://doi.org/10.17323/1609-4514-2012-12-4-765-769 (Mi mmj480) 		 
Riemannian $\mathrm{Spin}(7)$ holonomy manifold carries octonionic-Kähler structure

Dmitry V. Egorov

Ammosov Northeastern federal university, Kulakovskogo str. 48, 677000, Yakutsk, Russia
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DOI: https://doi.org/10.17323/1609-4514-2012-12-4-765-769
Abstract: We prove that Riemannian $\mathrm{Spin}(7)$ holonomy manifolds carry octonionic-Kähler structure.
Key words and phrases: Special holonomy, octonionic-Kähler.
Received: September 12, 2011
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Document Type: Article
MSC: 53C25
Language: English
Citation: Dmitry V. Egorov, “Riemannian $\mathrm{Spin}(7)$ holonomy manifold carries octonionic-Kähler structure”, Mosc. Math. J., 12:4 (2012), 765–769
Citation in format AMSBIB
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\by Dmitry~V.~Egorov
\paper Riemannian $\mathrm{Spin}(7)$ holonomy manifold carries octonionic-K\"{a}hler structure
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 4
\pages 765--769
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\crossref{https://doi.org/10.17323/1609-4514-2012-12-4-765-769}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076854}
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