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

Stefan Ivanov; Maurizio Parton; Paolo Piccinni

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

Differential Geometry 2007-05-23 v3

Authors: Stefan Ivanov , Maurizio Parton , Paolo Piccinni

Abstract

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.

Keywords

holonomy

Cite

@article{arxiv.math/0509038,
  title  = {Locally conformal parallel $G_2$ and $Spin(7)$ manifolds},
  author = {Stefan Ivanov and Maurizio Parton and Paolo Piccinni},
  journal= {arXiv preprint arXiv:math/0509038},
  year   = {2007}
}

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