On Non-Abelian Discontinuous Subgroups Acting on Exponential Solvable Homogeneous Spaces

DOI10.1093/imrn/rnp193zbMath1197.22003OpenAlexW2115276685MaRDI QIDQ3561747

Ali Baklouti, Imed Kedim

Publication date: 25 May 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnp193

zbMATH Keywords

Heisenberg grouphomogeneous spacedeformation spacerigidity of deformationsdiscontinuous subgroup of an exponential solvable Lie group

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) General properties and structure of other Lie groups (22E20)

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Variants of stability of discontinuous groups for Euclidean motion groups ⋮ On the Calabi-Markus phenomenon and a rigidity theorem for Euclidean motion groups ⋮ Criterion of proper actions of abelian affine discontinuous groups for ℝn ⋮ Four-dimensional compact Clifford–Klein forms of pseudo-Riemannian symmetric spaces with signature (2, 2) ⋮ 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 ⋮ The Selberg–Weil–Kobayashi rigidity theorem: The rank one solvable case ⋮ On discontinuous subgroups acting on solvable homogeneous spaces ⋮ Deforming discontinuous groups for Heisenberg motion groups ⋮ A splitting of local rigidity of Clifford–Klein forms of homogeneous spaces of completely solvable Lie groups ⋮ Deforming discontinuous subgroups of reduced Heisenberg groups

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