Open sets of diffeomorphisms with trivial centralizer in theC1topology

DOI10.1088/0951-7715/27/12/2869zbMath1351.37079arXiv1405.1492OpenAlexW3100505662MaRDI QIDQ2936142

Todd Fisher, Lennard F. Bakker

Publication date: 5 January 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1492

zbMATH Keywords

Anosov diffeomorphismstoral automorphismstrivial centralizer\(C^1\) topology

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

Centralizers of hyperbolic and kinematic-expansive flows ⋮ The centralizer of Komuro-expansive flows and expansive \({{\mathbb {R}}}^d\) actions ⋮ On $C^0$-centralizers of Anosov diffeomorphisms on the torus: algebraic and topological aspects ⋮ The centralizer of $C^r$-generic diffeomorphisms at hyperbolic basic sets is trivial ⋮ Symmetries of \(C^r\)-vector fields on surfaces ⋮ On the centralizer of vector fields: criteria of triviality and genericity results ⋮ Symmetries of vector fields: the diffeomorphism centralizer

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