Stability of Discontinuous Groups Acting on Homogeneous Spaces


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Suppose given a nilpotent connected simply connected Lie group G, a connected Lie subgroup H of G, and a discontinuous group Γ for the homogeneous space M = G/H. In this work we study the topological stability of the parameter space R(Γ,G,H) in the case where G is three-step. We prove a stability theorem for certain particular pairs (Γ,H). We also introduce the notion of strong stability on layers making use of an explicit layering of Hom(Γ,G) and study the case of Heisenberg groups.

作者简介

A. Baklouti

Department of Mathematics

编辑信件的主要联系方式.
Email: Ali.Baklouti@fss.usf.tn
突尼斯, Sfax

M. Boussoffara

Department of Mathematics

Email: Ali.Baklouti@fss.usf.tn
突尼斯, Sfax

I. Kedim

Department of Mathematics

Email: Ali.Baklouti@fss.usf.tn
突尼斯, Sfax

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