On the automorphism group of a compact Lorentz manifold and other geometric manifolds
From MaRDI portal
Publication:1074873
DOI10.1007/BF01394415zbMath0591.53026MaRDI QIDQ1074873
Publication date: 1986
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143320
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General properties and structure of real Lie groups (22E15) (G)-structures (53C10)
Related Items
Isometry group of Lorentz manifolds: a coarse perspective, Actions of superrigid non-Kazhdan lattices on compact manifolds, Isometry groups of Lorentz manifolds, Isometric splitting for actions of simple Lie groups on pseudo-Riemannian manifolds, On low-dimensional manifolds with isometric \(\mathrm {SO}_{0}(p, q)\)-actions, Conformal actions on the Einstein universe, The gap phenomenon in the dimension study of finite type systems, The Gromov's centralizer theorem for semisimple Lie group actions, Conformal actions of higher rank lattices on compact pseudo-Riemannian manifolds, The identity component of the isometry group of a compact Lorentz manifold, Essential conformal actions of \({{\mathrm{PSL}}}(2,\mathbb{R})\) on real-analytic compact Lorentz manifolds, Conformal actions of nilpotent groups on pseudo-Riemannian manifolds, Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds, A nonlinear extension of the Borel density theorem: Applications to invariance of geometric structures and to smooth orbit equivalence, An embedding theorem for automorphism groups of Cartan geometries, Isometry groups of closed Lorentz 4-manifolds are Jordan, Lorentz dynamics on closed 3-manifolds, On Lorentz dynamics: From group actions to warped products via homogeneous spaces, Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ergodic theory, semisimple Lie groups, and foliations by manifolds of negative curvature
- Density properties for certain subgroups of semi-simple groups without compact components
- Semisimple automorphism groups of G-structures
- Volume preserving actions of lattices in semisimple groups on compact manifolds
- Kazhdan groups acting on compact manifolds
- Lattices in semisimple groups and distal geometric structures
- On discrete subgroups of Lie groups and elliptic geometric structures
- Amenable subgroups of semi-simple groups and proximal flows
- On the cohomology of ergodic group actions
- Extensions of ergodic group actions
- Amenable ergodic group actions and an application to Poisson boundaries of random walks
- Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
- Visibility manifolds
- Actions of lattices in semisimple groups preserving a G-structure of finite type
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- Induced and amenable ergodic actions of Lie groups