Publication details
Homogeneous 8-manifolds admitting invariant Spin(7)-structures
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Mathematics |
| Citation | |
| web | https://doi.org/10.1142/S0129167X20500603 |
| Doi | http://dx.doi.org/10.1142/S0129167X20500603 |
| Description | 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 analyze the associated Spin(7)-connection with torsion. |