Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups
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Publication:2406014
DOI10.1007/s00209-016-1790-yzbMath1433.37030arXiv1309.5277OpenAlexW2963631108MaRDI QIDQ2406014
Christian Bonatti, Ignacio Monteverde, Cristóbal Rivas, Andrés Navas
Publication date: 26 September 2017
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.5277
Solvable groups, supersolvable groups (20F16) Dynamical systems involving maps of the circle (37E10) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General theory of group and pseudogroup actions (22F05)
Related Items (17)
Surface groups of diffeomorphisms of the interval ⋮ One-dimensional actions of Higman's group ⋮ Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ Small \(C^1\) actions of semidirect products on compact manifolds ⋮ Higher rank confining subsets and hyperbolic actions of solvable groups ⋮ There are no exotic actions of diffeomorphism groups on 1-manifolds ⋮ On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of ⋮ Direct products, overlapping actions, and critical regularity ⋮ A finitely presented infinite simple group of homeomorphisms of the circle ⋮ Centralizers of \(C^1\)-contractions of the half line ⋮ (Un)distorted diffeomorphisms in different regularities ⋮ Global rigidity of some abelian-by-cyclic group actions on \(\mathbb{T}^2\) ⋮ Hyperbolicity as an obstruction to smoothability for one-dimensional actions ⋮ Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms ⋮ Any Baumslag–Solitar action on surfaces with a pseudo-Anosov element has a finite orbit ⋮ Diffeomorphism groups of critical regularity ⋮ Regular left-orders on groups
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