Cohomogeneity one actions on anti de Sitter spacetimes

In this paper we classify, up to orbit equivalence, cohomogeneity one actions of connected closed Lie subgroups of \(U(1,n)\) on the \((2n+1)\)-dimensional anti de Sitter spacetime \(AdS^{2n+1}\). We also give some new examples of nonproper cohomogeneity one actions on \(AdS^{n+1}\) and determine pa...

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Veröffentlicht in:arXiv.org 2016-09
Hauptverfasser: Diaz-Ramos, J C, Kashani, S M B, Vanaei, M J
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Sprache:eng
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Zusammenfassung:In this paper we classify, up to orbit equivalence, cohomogeneity one actions of connected closed Lie subgroups of \(U(1,n)\) on the \((2n+1)\)-dimensional anti de Sitter spacetime \(AdS^{2n+1}\). We also give some new examples of nonproper cohomogeneity one actions on \(AdS^{n+1}\) and determine parabolic Lie subgroups of \(SO(2,n)\) and their orbits in \(AdS^{n+1}\)
ISSN:2331-8422