Flows without wandering points on compact connected surfaces

Milton Cobo, Carlos Gutierrez, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

Given a compact 2 - dimensional manifold M we classify all continuous flows ℓ without wandering points on M. This classification is performed by finding finitely many pairwise disjoint open ℓ - invariant subsets {U 1,U2,Un} of M such that Ui=in Ui = M and each Ui is either a suspension of an interval exchange transformation, or a maximal open cylinder made up of closed trajectories of ℓ. © 2010 American Mathematical Society.
Original languageEnglish
Pages (from-to)4569-4580
JournalTransactions of the American Mathematical Society
Volume362
Issue number9
DOIs
Publication statusPublished - 1 Jan 2010

Keywords

  • Flows in compact surfaces
  • Interval exchange transformation
  • Wandering sets

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