Locally compact flows on connected manifolds

DOI10.1090/ecgd/366zbMath1490.37014OpenAlexW4200294211MaRDI QIDQ5019800

Khadija Ben Rejeb

Publication date: 11 January 2022

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/ecgd/366

zbMATH Keywords

circle groupperiodichomeomorphismsrecurrentlocally compact flow

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Compact groups of homeomorphisms (57S10)

Cites Work

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• Characterizations of almost periodic homeomorphisms
• The Lie theory of connected pro-Lie groups. A structure theory for pro-Lie algebras, pro-Lie groups, and connected locally compact groups
• Newman's theorems on transformation groups
• The structure of the orbits and their limit sets in continuous flows
• Positively equicontinuous flows
• Recurrent Homeomorphisms on ℝ 2 are Periodic
• A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES
• The Hilbert–Smith conjecture for three-manifolds

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