Homogeneous 8-manifolds admitting invariant Spin(7)-structures
Differential Geometry
2025-01-03 v2
Abstract
We study compact, simply connected, homogeneous 8-manifolds admitting invariant Spin(7)-structures, classifying all canonical presentations G/H of such spaces, with G simply connected. For each presentation, we exhibit explicit examples of invariant Spin(7)-structures and we describe their type, according to Fern\'andez classification. Finally, we analyse the associated Spin(7)-connection with torsion.
Keywords
Cite
@article{arxiv.1904.00643,
title = {Homogeneous 8-manifolds admitting invariant Spin(7)-structures},
author = {Dmitri Alekseevsky and Ioannis Chrysikos and Anna Fino and Alberto Raffero},
journal= {arXiv preprint arXiv:1904.00643},
year = {2025}
}
Comments
To appear in the International Journal of Mathematics