Flat pseudo-Riemannian homogeneous spaces with non-abelian holonomy group

DOI10.1090/S0002-9939-2011-11080-3zbMath1286.53059arXiv1009.3383OpenAlexW3102666818WikidataQ115289262 ScholiaQ115289262MaRDI QIDQ2845063

Oliver Baues, Wolfgang Globke

Publication date: 22 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3383

zbMATH Keywords

homogeneous spacepseudo-Riemannian metricholonomy grouplinear holonomy group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29) Discontinuous groups of transformations (57S30)

Related Items (2)

Holonomy groups of complete flat pseudo-Riemannian homogeneous spaces ⋮ On the geometry of flat pseudo-Riemannian homogeneous spaces

Cites Work

• Free affine actions of unipotent groups on \(\mathbb {C}^{n}\)
• Flat pseudo-Riemannian manifolds with a nilpotent transitive group of isometries
• Flat homogeneous pseudo-Riemannian manifolds
• Homogeneous Spacetimes of Zero Curvature
• Homogeneous Manifolds of Zero Curvature
• Prehomogeneous Affine Representations and Flat Pseudo-Riemannian Manifolds
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