Smooth Shifts along Trajectories of Flows

  title={Smooth Shifts along Trajectories of Flows},
  • Published 2003
Let Φ be a flow on a smooth, compact, finite-dimensional manifold M . Consider the subset D(Φ) of C∞(M, M) consisting of diffeomorphisms of M preserving the foliation of the flow Φ. Let also D0(Φ) be the identity path component of D(Φ) with compactopen topology. We prove that under mild conditions on fixed points of Φ the space D0(Φ) is either contractible or homotopically equivalent to S. 
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