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Cohomogeneity One Actions on Anti de Sitter Spacetimes

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Abstract

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 \(AdS^{n+1}\).

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Authors and Affiliations

  1. Department of Mathematics, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

    J. C. Díaz-Ramos

  2. Department of Pure Mathematics, School of Mathematical Sciences, Tarbiat Modares University, 14115-134 , Tehran, Iran

    S. M. B. Kashani & M. J. Vanaei

Authors
  1. J. C. Díaz-Ramos
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  2. S. M. B. Kashani
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  3. M. J. Vanaei
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Correspondence to J. C. Díaz-Ramos.

Additional information

S. M. B. Kashani and M. J. Vanaei have been supported by the Iranian presidential office via Grant No. 88001210. The first author has been supported by Projects EM2014/009, GRC2013-045, MTM2013-41335-P and MTM2016-75897-P with FEDER funds (Spain).

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Díaz-Ramos, J.C., Kashani, S.M.B. & Vanaei, M.J. Cohomogeneity One Actions on Anti de Sitter Spacetimes. Results Math 72, 515–536 (2017). https://doi.org/10.1007/s00025-017-0672-x

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  • DOI: https://doi.org/10.1007/s00025-017-0672-x

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