Cohomogeneity One de Sitter Space S1 n

In this paper we study the cohomogeneity one de Sitter space S1 n. 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 R. In the latter case we determine the groups and conseq...

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Bibliographic Details
Published inActa mathematica Sinica. English series no. 10; pp. 1915 - 1926
Main Author P. AHMADI S. M. B. KASHANI H. ABEDI
Format Journal Article
LanguageEnglish
Published 2010
Subjects
Sitter空间
豪斯多夫
轨道空间
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Summary:In this paper we study the cohomogeneity one de Sitter space S1 n. 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 R. 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.
Bibliography:Cohomogeneity one, Lorentzian space, de Sitter space
TM341
11-2039/O1
O186.11
ISSN:1439-8516
1439-7617