Local density of diffeomorphisms with large centralizers

DOI10.24033/asens.2085zbMath1163.58003arXiv0709.4319OpenAlexW1662478386MaRDI QIDQ3621196

Amie Wilkinson, Sylvain Crovisier, Gioia M. Vago, Christian Bonatti

Publication date: 15 April 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4319

zbMATH Keywords

Morse-Smale diffeomorphismtrivial centralizerMather invariantcentralizer of diffeomorphismgroup of \(C^r\)-diffeomorphisms

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Differential topological aspects of diffeomorphisms (57R50) Triangulating (57R05) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (13)

Hofer growth of \(C^1\)-generic Hamiltonian flows ⋮ On the work of Rodriguez Hertz on rigidity in dynamics ⋮ Centralizers of hyperbolic and kinematic-expansive flows ⋮ The centralizer of Komuro-expansive flows and expansive \({{\mathbb {R}}}^d\) actions ⋮ Centralizers of derived-from-Anosov systems on : rigidity versus triviality ⋮ Existence and genericity of finite topological generating sets for homeomorphism groups ⋮ Autonomous Hamiltonian flows, Hofer's geometry and persistence modules ⋮ On the centralizer of vector fields: criteria of triviality and genericity results ⋮ Automorphisms of generic gradient vector fields with prescribed finite symmetries ⋮ The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan ⋮ The \(C^1\) generic diffeomorphism has trivial centralizer ⋮ Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms ⋮ Topological classification of Morse-Smale diffeomorphisms on \(3\)-manifolds

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