Cohomogeneity one de Sitter space S n 1

Cohomogeneity one de Sitter space S n 1

In this paper we study the cohomogeneity one de Sitter space S ^sub ^sub n^^ ^sup 1^ . We consider the actions in both proper and non-proper cases. In the first case we characterize the acting groups and orbits and we prove that the orbit space is homeomorphic to . In the latter case we determine th...

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Veröffentlicht in:Acta mathematica Sinica. English series 2010-10, Vol.26 (10), p.1915-1926
Hauptverfasser: Ahmadi, P., Kashani, S. M. B., Abedi, H.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Mathematics
Orbits
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Zusammenfassung:In this paper we study the cohomogeneity one de Sitter space S ^sub ^sub n^^ ^sup 1^ . We consider the actions in both proper and non-proper cases. In the first case we characterize the acting groups and orbits and we prove that the orbit space is homeomorphic to . In the latter case we determine the groups and consequently the orbits in some different cases and prove that the orbit space is not Hausdorff.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-010-8142-3