Cohomogeneity one anti de Sitter space AdSn+1
- Авторы: Vanaei M.1, Kashani S.1, Straume E.2
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Учреждения:
- Department of Pure Mathematics, School of Mathematical Sciences
- Department of Mathematical Sciences
- Выпуск: Том 37, № 2 (2016)
- Страницы: 204-213
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197517
- DOI: https://doi.org/10.1134/S1995080216020141
- ID: 197517
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Аннотация
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.
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Об авторах
M. Vanaei
Department of Pure Mathematics, School of Mathematical Sciences
Автор, ответственный за переписку.
Email: javad.vanaei@modares.ac.ir
Иран, Tehran
S. Kashani
Department of Pure Mathematics, School of Mathematical Sciences
Email: javad.vanaei@modares.ac.ir
Иран, Tehran
E. Straume
Department of Mathematical Sciences
Email: javad.vanaei@modares.ac.ir
Норвегия, Trondheim
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