Cohomology and subcohomology problems for expansive, non anosov geodesic flows

Artur O. Lopes, Vladimir Alfonso Rosas Meneses, Rafael O. Ruggiero

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We show that there are examples of expansive, non-Anosov geodesic flows of compact surfaces with non-positive curvature, where the Livsic Theorem holds in its classical (continuous, Hölder) version. We also show that such flows have continuous subaction functions associated to Hölder continuous observables.

Original languageEnglish
Pages (from-to)403-422
Number of pages20
JournalDiscrete and Continuous Dynamical Systems
Volume17
Issue number2
StatePublished - Feb 2007

Keywords

  • Action functions
  • Cohomology of dynamical systems
  • Expansive geodesic flow
  • Livsic Theorem
  • Subaction functions

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