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arXiv · 1803.08734

Spinorial classification of Spin(7) structures

Lucía Martín-Merchán
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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. 2018-03-23. Spinorial classification of Spin(7) structures. https://arxiv.org/abs/1803.08734

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