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arXiv · 1904.00643

Homogeneous 8-manifolds admitting invariant Spin(7)-structures

Dmitri Alekseevsky·Ioannis Chrysikos·Anna Fino·Alberto Raffero
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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 Fernández classification. Finally, we analyse the associated Spin(7)-connection with torsion.

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Dmitri Alekseevsky, Ioannis Chrysikos, Anna Fino, Alberto Raffero. 2020-08-10. Homogeneous 8-manifolds admitting invariant Spin(7)-structures. https://doi.org/10.1142/s0129167x20500603

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