Explicit models for the restricted conformal group of the Einstein static universe of dimension greater than two and for its universal covering group are constructed. Based on these models, as an application we determine all oriented and time-oriented conformal Lorentz manifolds whose restricted conformal group has maximal dimension. They amount to the Einstein static universe itself and two countably infinite series of its compact quotients.
On the restricted conformal group of the (1+n)-Einstein static universe / Eshkobilov, O.; Musso, E.; Nicolodi, L.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 146:December 2019(2019). [10.1016/j.geomphys.2019.103517]
On the restricted conformal group of the (1+n)-Einstein static universe
Nicolodi, L.
2019-01-01
Abstract
Explicit models for the restricted conformal group of the Einstein static universe of dimension greater than two and for its universal covering group are constructed. Based on these models, as an application we determine all oriented and time-oriented conformal Lorentz manifolds whose restricted conformal group has maximal dimension. They amount to the Einstein static universe itself and two countably infinite series of its compact quotients.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
