Cohomogeneity one anti de Sitter space AdSn+1
- Authors: Vanaei M.J.1, Kashani S.M.1, Straume E.2
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Affiliations:
- Department of Pure Mathematics, School of Mathematical Sciences
- Department of Mathematical Sciences
- Issue: Vol 37, No 2 (2016)
- Pages: 204-213
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197517
- DOI: https://doi.org/10.1134/S1995080216020141
- ID: 197517
Cite item
Abstract
In this paper we study the anti de Sitter space AdSn+1 under a cohomogeneity one action of a connected closed Lie subgroup G of the isometry group. Among various results, for compact groups we determine the possible acting groups, the orbit space and principal and singular orbits. For noncompact groups it is shown that if there is a principal orbit which is either simply connected or totally umbilic, then there is only one orbit type. Furthermore, in the totally umbilic case, all orbits are congruent to AdSn.
Keywords
About the authors
M. J. Vanaei
Department of Pure Mathematics, School of Mathematical Sciences
Author for correspondence.
Email: javad.vanaei@modares.ac.ir
Iran, Islamic Republic of, Tehran
S. M. B. Kashani
Department of Pure Mathematics, School of Mathematical Sciences
Email: javad.vanaei@modares.ac.ir
Iran, Islamic Republic of, Tehran
E. Straume
Department of Mathematical Sciences
Email: javad.vanaei@modares.ac.ir
Norway, Trondheim