Fundamental groups of negatively curved manifolds and actions of semisimple groups

DOI10.1016/0040-9383(91)90041-2zbMath0744.57022OpenAlexW2073461881MaRDI QIDQ1184326

Ralf J. Spatzier, Robert J. Zimmer

Publication date: 28 June 1992

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(91)90041-2

zbMATH Keywords

fundamental groupsymmetric spacecocompact latticecompact manifold\(\mathbb{R}\)-rankconnected simple Lie group with finite centerreal analytic action preserving a real analytic connection and a finite measure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Discontinuous groups of transformations (57S30) Noncompact Lie groups of transformations (57S20)

Related Items (12)

Reduction of cocycles with hyperbolic targets ⋮ Cocycle superrigidity from higher rank lattices to \(\mathrm{Out}{(F_N)}\) ⋮ More irreducible boundary representations of free groups ⋮ The stretch of a foliation and geometric superrigidity ⋮ Measurable rigidity for Kleinian groups ⋮ Superrigidity, Ratner's theorem, and fundamental groups ⋮ Purely infinite $C^*$-algebras arising from dynamical systems ⋮ Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations ⋮ A generalization of the intermediate factors theorem ⋮ Limit sets as examples in noncommutative geometry ⋮ Kähler manifolds and 1/4-pinching ⋮ Amenability and the Liouville property

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