Suspension Flows

  • Luís Barreira
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter we present several basic notions and results regarding suspension flows, as a preparation for many developments in later chapters. We note that any smooth flow with a hyperbolic set gives rise to a suspension flow (see Chap.  3). In particular, we present the notions of cohomology and of Bowen–Walters distance. It happens that one can often describe the properties of a suspension flow in terms of corresponding properties in the base. This relation is considered in this chapter for the notion of cohomology. Several other relations of a similar type will be considered later in the book.

References

  1. 31.
    R. Bowen and P. Walters, Expansive one-parameter flows, J. Differ. Equ. 12 (1972), 180–193. MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Luís Barreira
    • 1
  1. 1.Departamento de MatemáticaInstituto Superior TécnicoLisboaPortugal

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