English

Spinorial classification of Spin(7) structures

Differential Geometry 2018-03-26 v1

Abstract

We describe the different classes of Spin(7)\mathrm{Spin(7)} structures in terms of spinorial equations. We relate them to the spinorial description of G2\mathrm{G}_2 structures in some geometrical situations. Our approach enables us to analyze invariant Spin(7)\mathrm{Spin(7)} structures on quasi abelian Lie algebras.

Keywords

Cite

@article{arxiv.1803.08734,
  title  = {Spinorial classification of Spin(7) structures},
  author = {Lucía Martín-Merchán},
  journal= {arXiv preprint arXiv:1803.08734},
  year   = {2018}
}

Comments

18 pages

R2 v1 2026-06-23T01:02:51.042Z