On measure rigidity of unipotent subgroups of semisimple groups

DOI10.1007/BF02391906zbMath0745.28010OpenAlexW2094845020MaRDI QIDQ1173594

Marina Ratner

Publication date: 25 June 1992

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02391906

zbMATH Keywords

ergodic theoryergodic actiontopological rigiditymeasure rigiditymeasure-preserving actions\(R\)-propertyergodic joiningsRaghunathan's conjectureunipotent subgroups of real Lie groupsunipotent transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Discrete subgroups of Lie groups (22E40) Ergodic theory (37A99)

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Cites Work

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• Horocycle flows, joinings and rigidity of products
• Invariant measures and minimal sets of horospherical flows
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• Unique ergodicity of flows on homogeneous spaces
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• Rigidity of horocycle flows
• Group structure and the pointwise ergodic theorem for connected amenable groups
• Factors of horocycle flows
• Zero-Entropy Affine Maps on Homogeneous Spaces
• Unique Ergodicity of Horospherical Flows
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• Flows on Homogeneous Spaces: A New Look
• Strict Ergodicity and Transformation of the Torus
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• Introduction to Lie Algebras and Representation Theory
• Rigidity of some translations on homogeneous spaces

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