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Locally conformal parallel $G_2$ and $Spin(7)$ manifolds

Stefan Ivanov·Maurizio Parton·Paolo Piccinni
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Abstract

We characterize compact locally conformal parallel $G_2$ (respectively, $Spin(7)$) manifolds as fiber bundles over $S^1$ with compact nearly Kähler (respectively, compact nearly parallel $G_2$) fiber. A more specific characterization is provided when the local parallel structures are flat.

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Stefan Ivanov, Maurizio Parton, Paolo Piccinni. 2005-09-18. Locally conformal parallel $G_2$ and $Spin(7)$ manifolds. https://arxiv.org/abs/math/0509038

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