A splitting of local rigidity of Clifford–Klein forms of homogeneous spaces of completely solvable Lie groups

DOI10.1142/S0129167X21500580zbMath1489.22005arXiv1607.07199OpenAlexW3168567613WikidataQ115246498 ScholiaQ115246498MaRDI QIDQ5007075

Yoshinori Tanimura

Publication date: 18 August 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07199

zbMATH Keywords

deformation spaceproper actionfree actionlocal rigidityClifford-Klein formcompletely solvable

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25)

Cites Work

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• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
• On discontinuous subgroups acting on solvable homogeneous spaces
• Nonstandard Lorentz space forms
• Proper action on a homogeneous space of reductive type
• Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds
• Derivations of Nilpotent Lie Algebras
• ON THE DEFORMATION SPACE OF CLIFFORD–KLEIN FORMS OF SOME EXPONENTIAL HOMOGENEOUS SPACES
• DEFORMATION OF PROPERLY DISCONTINUOUS ACTIONS OF ℤ^k ON ℝ^k+1
• On Non-Abelian Discontinuous Subgroups Acting on Exponential Solvable Homogeneous Spaces
• On the local rigidity of discontinuous groups for exponential solvable Lie groups
• Characteristically nilpotent Lie algebras

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