Dmitry V. Egorov, “Riemannian <nobr>$\mathrm{Spin}(7)$</nobr> holonomy manifold carries octonionic-Kähler structure”, Mosc. Math. J., 2012, Volume 12, Number 4,Pages <nobr>765

Riemannian $\mathrm{Spin}(7)$ holonomy manifold carries octonionic-Kähler structure

Dmitry V. Egorov

Ammosov Northeastern federal university, Kulakovskogo str. 48, 677000, Yakutsk, Russia

Abstract: We prove that Riemannian $\mathrm{Spin}(7)$ holonomy manifolds carry octonionic-Kähler structure.

Key words and phrases: Special holonomy, octonionic-Kähler.

MSC: 53C25

Received: September 12, 2011

Language: English

DOI: 10.17323/1609-4514-2012-12-4-765-769