Rigidity of some translations on homogeneous spaces

DOI10.1090/S0273-0979-1985-15308-XzbMath0558.58025MaRDI QIDQ5895509

Dave Witte Morris

Publication date: 1985

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

zbMATH Keywords

semisimple Lie grouplatticesaffine mapmeasure-theoretic isomorphismhorocylic flowmeasure-preserving Borel map

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamics induced by flows and semiflows (37C10) Real-valued functions on manifolds (58C05)

Related Items

Rigidity of some translations on homogeneous spaces, A nonlinear extension of the Borel density theorem: Applications to invariance of geometric structures and to smooth orbit equivalence, Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces

Cites Work

• Strong rigidity for ergodic actions of semisimple Lie groups
• Rigidity of horocycle flows
• Geodesic flows are Bernoullian
• On Groups of Measure Preserving Transformations. I
• Rigidity of some translations on homogeneous spaces