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Homogeneous 8-manifolds admitting invariant Spin(7)-structures
Autoři | |
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Rok publikování | 2020 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | International Journal of Mathematics |
Citace | |
www | https://doi.org/10.1142/S0129167X20500603 |
Doi | http://dx.doi.org/10.1142/S0129167X20500603 |
Popis | 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. |