Nonsmoothable, Unstable Group Actions

DOI10.2307/1998509zbMath0361.58005OpenAlexW4236896178MaRDI QIDQ4134621

Dennis Pixton

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1998509

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Foliations in differential topology; geometric theory (57R30) Stability theory for smooth dynamical systems (37C75)

Related Items (13)

Examples of distorted interval diffeomorphisms of intermediate regularity ⋮ \(C^ 1\) foliations which cannot be approximated by \(C^ 2\) foliations ⋮ \(C^1\) actions on the circle of finite index subgroups of \(\mathrm{Mod}(\Sigma_g)\), \(\mathrm{Aut}(F_n)\), and \(\mathrm{Out}(F_n)\) ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ A universal nilpotent group of \(C^1\) diffeomorphisms of the interval ⋮ On one-dimensional dynamics in intermediary regularity ⋮ On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of ⋮ Sharp regularity for certain nilpotent group actions on the interval ⋮ Distortion in transformation groups (with an appendix by Yves de Cornulier) ⋮ (Un)distorted diffeomorphisms in different regularities ⋮ Singular Reeb foliations on the \(n\)-dimensional torus ⋮ Every orientable \(3\)-manifold is a \(B\Gamma\) ⋮ An interesting class of \(C^{1}\) foliations

Cites Work

• Unnamed Item
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• Some remarks on stability of foliations
• Extension du 'closing lemma' aux actions de \(R^ 2\) sur les variétés de \(\dim=3\)
• The Closing Lemma
• Foliations and noncompact transformation groups
• Foliations

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