On the irreducible action of psl(2, r) on the 3-dimensional einstein universe

2017/06/27 by Masoud Hassani, Hassani, Masoud
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Representation Theory (math.RT) #math.DG #math.MG #math.RT

paper · pdf · doi:10.48550/arxiv.1706.08813

arxiv created 2017/06/27 · arxiv updated 2017/06/28

Abstract

We describe the orbits of the irreducible action of PSL(2, R) on the 3-dimensional Einstein universe Ein 1,2. This work completes the study in [2], and is one element of the classification of cohomo-geneity one actions on Ein 1,2 ([5]).

Related

• Cohomogeneity one actions on the three-dimensional Einstein universe
• Fundamental domains in the Einstein Universe
• Weyl chamber flow on irreducible quotients of products of PSL(2,R)
• Einstein solvmanifolds: existence and non-existence questions
• The Geroch group in Einstein spaces