Flows without wandering points on compact connected surfaces

Milton Cobo; Carlos Gutierrez; Jaume Llibre

doi:10.1090/S0002-9947-10-05113-5

Flows without wandering points on compact connected surfaces

Milton Cobo, Carlos Gutierrez, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-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 language	English
Pages (from-to)	4569-4580
Journal	Transactions of the American Mathematical Society
Volume	362
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9947-10-05113-5
Publication status	Published - 1 Jan 2010

Keywords

Flows in compact surfaces
Interval exchange transformation
Wandering sets

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10.1090/S0002-9947-10-05113-5

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title = "Flows without wandering points on compact connected surfaces",

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. {\textcopyright} 2010 American Mathematical Society.",

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AU - Llibre, Jaume

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N2 - 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.

AB - 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.

KW - Flows in compact surfaces

KW - Interval exchange transformation

KW - Wandering sets

U2 - 10.1090/S0002-9947-10-05113-5

DO - 10.1090/S0002-9947-10-05113-5

M3 - Article

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SP - 4569

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Flows without wandering points on compact connected surfaces

Abstract

Keywords

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