A nonlinear extension of the Borel density theorem: Applications to invariance of geometric structures and to smooth orbit equivalence

DOI10.1090/S0273-0979-1990-15915-4zbMath0736.22003MaRDI QIDQ4713013

Alessandra Iozzi

Publication date: 25 June 1992

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

zbMATH Keywords

discrete subgroupsmooth manifoldsfinite invariant measurerational representationconnected semisimple Lie groupnonlinear actionsinfinite-dimensional linear representations

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Ergodic theory on groups (22D40) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Density properties for certain subgroups of semi-simple groups without compact components
• Rigidity of locally homogeneous metrics of negative curvature on the leaves of a foliation
• On the automorphism group of a compact Lorentz manifold and other geometric manifolds
• Topological Equivalence of Foliations of Homogeneous Spaces
• Topological Equivalence of Flows on Homogeneous Spaces, and Divergence of One-Parameter Subgroups of Lie Groups
• Ergodicity of Flows on Homogeneous Spaces
• Rigidity of some translations on homogeneous spaces

This page was built for publication: A nonlinear extension of the Borel density theorem: Applications to invariance of geometric structures and to smooth orbit equivalence