Subgroups of $\operatorname {Diff}^{\infty }_+ (\mathbb S^1)$ acting transitively on $4$-tuples

DOI10.1090/S0002-9947-04-03466-XzbMath1103.37017OpenAlexW1550896918MaRDI QIDQ4813861

Julio C. Rebelo

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03466-x

zbMATH Keywords

group theoryLie structureorientation-preserving diffeomorphisms\(C^\infty\)-diffeomorphisms of the circle

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Dynamical systems involving maps of the circle (37E10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (3)

On the ergodic theory of free group actions by real-analytic circle diffeomorphisms ⋮ Global rigidity of conjugations for locally non-discrete subgroups of \({\mathrm{Diff}}^{\omega} (S^1)\) ⋮ Questions and remarks on discrete and dense subgroups of Diff(I)

Cites Work

• Local \(C^n\) transformations of the real line
• Structural stability on two-dimensional manifolds
• On the density of an orbit of a pseudogroup of conformal mappings and a generalization of the Khudaj-Verenov theorem
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• On the dynamics of certain actions of free groups on closed real analytic manifolds
• Ergodicity and rigidity for certain subgroups of Diffω(S1)
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