Spinorial classification of Spin(7) structures

Published 23 Mar 2018 in math.DG | (1803.08734v1)

Abstract: We describe the different classes of $\mathrm{Spin(7)}$ structures in terms of spinorial equations. We relate them to the spinorial description of $\mathrm{G}_2$ structures in some geometrical situations. Our approach enables us to analyze invariant $\mathrm{Spin(7)}$ structures on quasi abelian Lie algebras.

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Lucía Martín-Merchán

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