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Homogeneous 8-manifolds admitting invariant Spin(7)-structures
Published 1 Apr 2019 in math.DG | (1904.00643v2)
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.
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