Holonomy groups of complete flat pseudo-Riemannian homogeneous spaces

@article{Globke2013HolonomyGO,
  title={Holonomy groups of complete flat pseudo-Riemannian homogeneous spaces},
  author={Wolfgang Globke},
  journal={Advances in Mathematics},
  year={2013},
  volume={240},
  pages={88-105}
}
  • Wolfgang Globke
  • Published 2013
  • Mathematics, Physics
  • Advances in Mathematics
  • Abstract We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy is of dimension ≥ 14 . Due to an example constructed in a previous article (Baues and Globke, 2012  [2] ), this is a sharp bound. Also, we give a structure theory for the fundamental groups of complete flat pseudo-Riemannian manifolds in dimensions ≤ 6 . Finally, we observe that every finitely generated torsion-free 2-step nilpotent group can be realized as the fundamental group of a… CONTINUE READING
    On the geometry of flat pseudo-Riemannian homogeneous spaces

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