Prehomogeneous Affine Representations and Flat Pseudo-Riemannian Manifolds

zbMath1205.53022arXiv0809.0824MaRDI QIDQ5748066

Oliver Baues

Publication date: 14 September 2010

Full work available at URL: https://arxiv.org/abs/0809.0824

zbMATH Keywords

homogeneous domainsaffine representationsaffinely flat manifoldsflat affine connectionflat symplectic connectionsprehomogeneous affine representationspseudo-Riemannian flat manifolds

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Connections (general theory) (53C05)

Related Items (7)

Left invariant special Kähler structures ⋮ Flat affine symplectic Lie groups ⋮ Holonomy groups of complete flat pseudo-Riemannian homogeneous spaces ⋮ Homogeneous spaces with invariant Koszul-Vinberg structures ⋮ A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups ⋮ On the geometry of flat pseudo-Riemannian homogeneous spaces ⋮ Flat pseudo-Riemannian homogeneous spaces with non-abelian holonomy group

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