Lattices in semisimple groups and distal geometric structures

DOI10.1007/BF01388551zbMath0598.22007MaRDI QIDQ1079672

Robert J. Zimmer

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143222

zbMATH Keywords

ergodic actionKazhdan groupdistal group

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40)

Related Items (4)

Rigidity of certain solvable actions on the sphere ⋮ Local rigidity of discrete groups acting on complex hyperbolic space ⋮ Almost isometric actions, property (T), and local rigidity ⋮ On the automorphism group of a compact Lorentz manifold and other geometric manifolds

Cites Work

• Semisimple automorphism groups of G-structures
• Volume preserving actions of lattices in semisimple groups on compact manifolds
• Kazhdan groups acting on compact manifolds
• On discrete subgroups of Lie groups and elliptic geometric structures
• Strong rigidity for ergodic actions of semisimple Lie groups
• Groups admitting ergodic actions with generalized discrete spectrum
• Connection of the dual space of a group with the structure of its closed subgroups
• Lectures on groups of transformations. Notes by R. R. Simha and R. Sridharan
• Actions of lattices in semisimple groups preserving a G-structure of finite type
• Discrete groups of motions of manifolds of nonpositive curvature
• Distal Affine Transformation Groups
• The Structure of Distal Flows
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