On discontinuous subgroups acting on solvable homogeneous spaces

DOI10.3792/PJAA.87.173zbMath1241.22009OpenAlexW2072921101MaRDI QIDQ764643

Ali Baklouti

Publication date: 13 March 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.173

zbMATH Keywords

deformation spaceproperly discontinuous actionsSolvable Lie subgroupStability and rigidity

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Deformations of complex structures (32G05)

Related Items (7)

Stability of discontinuous groups for reduced threadlike Lie groups ⋮ On the geometry of stable discontinuous subgroups acting on threadlike homogeneous spaces ⋮ Unnamed Item ⋮ A local rigidity theorem for finite actions on Lie groups and application to compact extensions of \(\mathbb{R}^n\) ⋮ Stability of discontinuous groups acting on homogeneous spaces ⋮ A splitting of local rigidity of Clifford–Klein forms of homogeneous spaces of completely solvable Lie groups ⋮ Deforming discontinuous subgroups of reduced Heisenberg groups

Cites Work

• Local rigidity of discrete groups acting on complex hyperbolic space
• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
• Deforming discontinuous subgroups for threadlike homogeneous spaces
• Proper action on a homogeneous space of reductive type
• Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds
• Remarks on the cohomology of groups
• DEFORMATION OF PROPERLY DISCONTINUOUS ACTIONS OF ℤ^k ON ℝ^k+1
• On Non-Abelian Discontinuous Subgroups Acting on Exponential Solvable Homogeneous Spaces
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