Cohomogeneity one de Sitter space S sub(n) super(1)

In this paper we study the cohomogeneity one de Sitter space S sub(n) super(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 grou...

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Published inActa mathematica Sinica. English series Vol. 26; no. 10; pp. 1915 - 1926
Main Authors Ahmadi, P, Kashani, SMB, Abedi, H
Format Journal Article
LanguageEnglish
Published 01.10.2010
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Orbits
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Summary:In this paper we study the cohomogeneity one de Sitter space S sub(n) super(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.
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ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-010-8142-3