Solvable Groups Acting on the Line
From MaRDI portal
Publication:3685689
DOI10.2307/1999325zbMath0569.57012OpenAlexW4234198608MaRDI QIDQ3685689
Publication date: 1983
Full work available at URL: https://doi.org/10.2307/1999325
quasi-invariant measureaffine groupReeb stabilitycodimension one foliationscodimension one Anosov flowgroup of homeomorphisms of \({\mathbb{R}}\)manifold with solvable fundamental groupsuspension of a hyperbolic toral automorphism
Groups acting on specific manifolds (57S25) Foliations in differential topology; geometric theory (57R30) Noncompact Lie groups of transformations (57S20) Dynamical systems with hyperbolic behavior (37D99)
Related Items
3-manifolds supporting Anosov flows and Abelian normal subgroups ⋮ The nonexistence of expansive polycyclic group actions on the circle 𝕊¹ ⋮ On the number of circular orders on a group ⋮ Regulating flows, topology of foliations and rigidity ⋮ Classifying foliations of 3-manifolds via branched surfaces ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4288848 Sur les groupes engendr�s par des diff�omorphismes proches de l'identit�] ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ Higher rank confining subsets and hyperbolic actions of solvable groups ⋮ Groups of line and circle diffeomorphisms. Criteria for almost nilpotency and structure theorems ⋮ Invariant Radon measures and minimal sets for subgroups of \(\text{Homeo}_+(\mathbb{R})\) ⋮ Actions of solvable Baumslag-Solitar groups on surfaces with (pseudo)-Anosov elements ⋮ Flots d'Anosov sur les variétés graphées au sens de Waldhausen. (Anosov flows on graph manifolds in the sense of Waldhausen.) ⋮ Quasi-invariant measures for some amenable groups acting on the line ⋮ On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of ⋮ Ergodic components of partially hyperbolic systems ⋮ \(C^1\)-actions of Baumslag-Solitar groups on \(S^1\) ⋮ Group actions on one-manifolds, II: Extensions of Hölder’s Theorem ⋮ Polycyclic groups of diffeomorphisms of the closed interval ⋮ Local and global properties of limit sets of foliations of quasigeodesic Anosov flows ⋮ A condition for the stability of ℝ-covered on foliations of 3-manifolds ⋮ Group actions on nonseparated 1-manifolds and foliations of codimension one ⋮ Subgroups of continuous groups acting differentiably on the half-line ⋮ On the space of left-orderings of virtually solvable groups ⋮ Flats in 3-manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of codimension one foliations by compact leaves
- The geometry of cross sections to flows
- Foliations of 3-manifolds with solvable fundamental group
- Holonomy and averaging in foliated sets
- A generalization of the Reeb stability theorem
- Foliations with measure preserving holonomy
- Growth of finitely generated solvable groups and curvature of Riemannian manifolds
- Guppen mit Poincaré-Dualität
- Anosov Flows, Transversely Affine Foliations, and a Conjecture of Verjovsky
- Transversally affine foliations
- Anosov Flows
