Arithmetic groups acting on compact manifolds

DOI10.1090/S0273-0979-1983-15093-0zbMath0532.22012MaRDI QIDQ3314078

Robert J. Zimmer

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

rigiditycompact manifoldsinvariant Riemannian metricergodicarithmetic subgroupsfinitely generatedvolume preserving actionsinvariant topological distance function

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Discrete subgroups of Lie groups (22E40) Topological transformation groups (57S99) Other groups of matrices (20H99)

Related Items

Lattice subgroups acting on manifolds ⋮ Rigidity, lattices, and invariant measures beyond homogeneous dynamics ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T) ⋮ Volume preserving actions of lattices in semisimple groups on compact manifolds

Cites Work

• Volume preserving actions of lattices in semisimple groups on compact manifolds
• Strong rigidity for ergodic actions of semisimple Lie groups
• On the congruence subgroup problem
• Ergodic theory, group representations, and rigidity
• On connection-preserving actions of discrete linear groups
• Products of Random Matrices