Symmetries of \(C^r\)-vector fields on surfaces

DOI10.1007/s00574-023-00361-9zbMath1527.37032OpenAlexW4386001922MaRDI QIDQ6136723

Wescley Bonomo, Paulo Varandas, Jorge Rocha

Publication date: 31 August 2023

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-023-00361-9

zbMATH Keywords

centralizerssymmetriesvector fieldsMorse-Smale flows on surfaces

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Flows on surfaces (37E35) Symmetries and invariants of dynamical systems (37C79)

Cites Work

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• Centralizers of vector fields
• The \(C^1\) generic diffeomorphism has trivial centralizer
• Morse-Smale flows and homotopy theory
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• Centralizers of hyperbolic and kinematic-expansive flows
• A criterion for the triviality of the centralizer for vector fields and applications
• Open sets of diffeomorphisms with trivial centralizer in theC¹topology
• Rigidity of centralizers of real analytic diffeomorphisms
• Rigidity of centralizers of diffeomorphisms
• Trivial centralizers for axiom A diffeomorphisms
• Trivial centralizers for codimension-one attractors
• Centralizers of Anosov diffeomorphisms on tori
• A Z × Z Structurally Stable Action
• Vector fields generate few diffeomorphisms
• The centralizer of $C^r$-generic diffeomorphisms at hyperbolic basic sets is trivial
• Continuous flows generate few homeomorphisms

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