Cohomogeneity one actions on the three-dimensional Einstein universe

• Published in: Geometriae dedicata Vol. 206; no. 1; pp. 105 - 150
• Main Authors: Hassani, M., Ahmadi, P.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.06.2020; Springer Nature B.V
• Subjects: Algebraic Geometry; Convex and Discrete Geometry; Differential Geometry; Hyperbolic Geometry; Mathematics; Mathematics and Statistics; Original Paper; Projective Geometry; Subgroups; Topology; Universe; Einstein universe; 57S25; Cohomogeneity one; Group action; Lorentzian geometry; 37C85

The aim of this paper is to classify the cohomogeneity one conformal actions on the 3-dimensional Einstein universe E in 1 , 2 , up to orbit equivalence. In a recent paper (Hassani in C R Acad Sci Paris Ser I 355:1133–1137, 2017. https://doi.org/10.1016/j.crma.2017.10.003 ), we studied the unique (u...