The centralizer of Komuro-expansive flows and expansive \({{\mathbb {R}}}^d\) actions

DOI10.1007/s00209-017-1988-7zbMath1397.37020arXiv1604.06516OpenAlexW2963187856MaRDI QIDQ1668449

Jorge Rocha, Wescley Bonomo, Paulo Varandas

Publication date: 28 August 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06516

zbMATH Keywords

expansive flowsingular-hyperbolicitygeometric Lorenz attractortrivial centralizer\({{\mathbb {R}}}^d\)-actions

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Centralizers of hyperbolic and kinematic-expansive flows ⋮ A criterion for the triviality of the centralizer for vector fields and applications ⋮ The centralizer of $C^r$-generic diffeomorphisms at hyperbolic basic sets is trivial ⋮ Expansive Lie group actions ⋮ 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 ⋮ \(C^1\)-generic sectional axiom A flows have only trivial symmetries ⋮ Accessibility and centralizers for partially hyperbolic flows

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