The Katok-Spatzier conjecture, generalized symmetries, and equilibrium-free flows

DOI10.3934/CPAA.2013.12.1183zbMATH Open1282.37020arXiv0808.2197OpenAlexW2324465080MaRDI QIDQ1948379

Lennard F. Bakker

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Abstract: Within the smooth category, an intertwining is exhibited between the global rigidity of irreducible higher rank abelian Anosov actions on the n-torus and the classification of equilibrium-free flows on the n-torus that possess nontrivial generalized symmetries.

Full work available at URL: https://arxiv.org/abs/0808.2197

zbMATH Keywords

Anosov diffeomorphismgeneralized symmetriesequilibrium-free flows

Mathematics Subject Classification ID

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) Algebraic number theory: global fields (11R99) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

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