Global cross sections for Anosov flows

Global cross sections for Anosov flows

We provide a new criterion for the existence of a global cross section to a volume-preserving Anosov flow. The criterion is expressed in terms of expansion and contraction rates of the flow and generalizes known results of this type.

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Veröffentlicht in:Ergodic theory and dynamical systems 2016-12, Vol.36 (8), p.2661-2674
1. Verfasser: SIMIC, SLOBODAN N
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Cross sections
Dynamical systems
Ergodic processes
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Beschreibung
Zusammenfassung:We provide a new criterion for the existence of a global cross section to a volume-preserving Anosov flow. The criterion is expressed in terms of expansion and contraction rates of the flow and generalizes known results of this type.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2015.25