On the Mostow rigidity theorem and measurable foliations by hyperbolic space
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Publication:760078
DOI10.1007/BF02761234zbMath0554.58035OpenAlexW1978873606MaRDI QIDQ760078
Publication date: 1982
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02761234
hyperbolic spaceRiemannian foliationsrigidity theoremfinite invariant measureergodic G-spacesfree ergodic action
Ergodic theory on groups (22D40) Integration on manifolds; measures on manifolds (58C35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Ergodic theory (37A99)
Related Items (5)
Dynamics and the cohomology of measured laminations ⋮ Integrable measure equivalence and rigidity of hyperbolic lattices ⋮ Rigidity of locally homogeneous metrics of negative curvature on the leaves of a foliation ⋮ Ergodic theory, group representations, and rigidity ⋮ Ergodic theory, semisimple Lie groups, and foliations by manifolds of negative curvature
Cites Work
- Strong rigidity for ergodic actions of semisimple Lie groups
- Extensions of ergodic group actions
- Orbit structure and countable sections for actions of continuous groups
- Orbit spaces of unitary representations, ergodic theory, and simple Lie groups
- Transformation groups and \(C^ *\)-algebras
- Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
- On Groups of Measure Preserving Transformations. I
- Reparametrization of n-Flows of Zero Entropy
- Compactness Conditions on Cocycles of Ergodic Transformation Groups
- Discrete groups of motions of manifolds of nonpositive curvature
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- Ergodicity of Flows on Homogeneous Spaces
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
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