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

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

2005-09-02

arxiv.org/abs/math/0509038v3

Math. Res. Lett. 13 (2006), no. 2-3, 167--177

Mathematics

Differential Geometry

References updated

Scientific paper

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

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