On the restricted conformal group of the (1+n)-Einstein static universe
Differential Geometry
2021-01-01 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1909.08563,
title = {On the restricted conformal group of the (1+n)-Einstein static universe},
author = {Olimjon Eshkobilov and Emilio Musso and Lorenzo Nicolodi},
journal= {arXiv preprint arXiv:1909.08563},
year = {2021}
}
Comments
25 page, final version to appear in J. Geom. Phys