Volume preserving actions of lattices in semisimple groups on compact manifolds

DOI10.1007/BF02698769zbMath0576.22013OpenAlexW2087340018MaRDI QIDQ1065166

Robert J. Zimmer

Publication date: 1984

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1984__59__5_0

zbMATH Keywords

Riemannian metricsemisimple Lie groupscompact manifoldslatticessuperrigidity theorem for cocyclesvolume preserving actions

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Ergodic theory (37A99) Noncompact Lie groups of transformations (57S20)

Related Items (14)

Lattices in semisimple groups and distal geometric structures ⋮ Actions of lattices in semisimple groups preserving a G-structure of finite type ⋮ Entropy rigidity for semisimple group actions ⋮ Lattice subgroups acting on manifolds ⋮ Conformal actions of higher rank lattices on compact pseudo-Riemannian manifolds ⋮ Spectrum, entropy and geometric structures for smooth actions of Kazhdan groups ⋮ Arithmetic groups acting on compact manifolds ⋮ Product groups acting on manifolds ⋮ Unitary spectrum and the fundamental group for actions of semisimple Lie groups ⋮ A new approach to the rigidity of discrete group actions ⋮ Almost isometric actions, property (T), and local rigidity ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T) ⋮ Kazhdan groups acting on compact manifolds ⋮ On the automorphism group of a compact Lorentz manifold and other geometric manifolds

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