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 ( 2 n + 1 ) -dimensional anti de Sitter spacetime A d S 2 n + 1 . We also give some new examples of nonproper cohomogeneity one actions on A d S n + 1 and determine pa...

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Bibliographic Details
Published in:Resultate der Mathematik 2017-09, Vol.72 (1-2), p.515-536
Main Authors: Díaz-Ramos, J. C., Kashani, S. M. B., Vanaei, M. J.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:In this paper we classify, up to orbit equivalence, cohomogeneity one actions of connected closed Lie subgroups of U (1,  n ) on the ( 2 n + 1 ) -dimensional anti de Sitter spacetime A d S 2 n + 1 . We also give some new examples of nonproper cohomogeneity one actions on A d S n + 1 and determine parabolic Lie subgroups of SO (2,  n ) and their orbits in A d S n + 1 .
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-017-0672-x