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

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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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Differential Geometry, 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/125920

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509038
 http://arxiv.org/abs/math/0509038
 Math. Res. Lett. 13 (2006), no. 2-3, 167--177

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arXiv