Spinorial classification of Spin(7) structures
Luc\'ia Mart\'in-Merch\'an
TL;DR
This paper classifies Spin(7) structures using spinorial equations, relates them to G2 structures, and analyzes invariant structures on quasi abelian Lie algebras, providing a unified spinorial framework.
Contribution
It introduces a spinorial classification of Spin(7) structures and connects them to G2 structures, with applications to invariant structures on specific Lie algebras.
Findings
Classified Spin(7) structures via spinorial equations
Linked Spin(7) and G2 structures in certain geometries
Analyzed invariant Spin(7) structures on quasi abelian Lie algebras
Abstract
We describe the different classes of structures in terms of spinorial equations. We relate them to the spinorial description of structures in some geometrical situations. Our approach enables us to analyze invariant structures on quasi abelian Lie algebras.
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