Connected subgroups of \(\mathrm{SO}(2,n)\) acting irreducibly on \(\mathbb R^{2,n}\)

DOI10.1007/s11856-011-0025-5zbMath1222.22008arXiv0806.2586OpenAlexW2107845584MaRDI QIDQ532604

Thomas Leistner, Antonio Jose Di Scala

Publication date: 5 May 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2586

zbMATH Keywords

Lie groupisometry grouptotally geodesic submanifoldholonomy groupirreducible action

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Issues of holonomy in differential geometry (53C29)

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Cites Work

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• Conformal holonomy of \(\mathbb{C}\)-spaces, Ricci-flat, and Lorentzian manifolds
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• A geometric proof of the Karpelevich-Mostow theorem
• Conformal Structures with Explicit Ambient Metrics and Conformal G 2 Holonomy
• The geometry of homogeneous submanifolds of hyperbolic space
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