Discrete Groups and Non-Riemannian Homogeneous Spaces

DOI10.2307/2152724zbMath0801.22009OpenAlexW4205105758MaRDI QIDQ4276531

Robert J. Zimmer

Publication date: 31 January 1994

Full work available at URL: https://doi.org/10.2307/2152724

zbMATH Keywords

Lie groupcocompact latticediscrete subgrouplocally homogeneous Riemannian manifoldsalmost simple real algebraic group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Harmonic analysis on homogeneous spaces (43A85) Discrete subgroups of Lie groups (22E40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (10)

A cohomological obstruction to the existence of compact Clifford-Klein forms ⋮ Semisimple symmetric spaces that do not model any compact manifold ⋮ Proper actions of \(\mathrm{SL}(2,\mathbb C)\) on irreducible complex symmetric spaces ⋮ On manifolds locally modelled on non-Riemannian homogeneous spaces ⋮ On solvable compact Clifford-Klein forms ⋮ Proper actions of \(\mathrm{SL}(2,\mathbb R)\) on semisimple symmetric spaces ⋮ Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups ⋮ Proof of Kobayashi's rank conjecture on Clifford-Klein forms ⋮ Isometry groups of generalized Stiefel manifolds ⋮ Semisimple symmetric spaces without compact manifolds locally modelled thereon

Cites Work

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• Superrigidity, Ratner's theorem, and fundamental groups
• On Raghunathan's measure conjecture
• Extensions of ergodic group actions
• On homogeneous model spaces of compact manifolds
• Compact Clifford-Klein forms of symmetric spaces
• Topological superrigidity and anosov actions of lattices
• SUPERRIGIDITY FOR COCYCLES AND HYPERBOLIC GEOMETRY

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