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# Smooth Shifts along Trajectories of Flows

@inproceedings{MAKSYMENKO2003SmoothSA, title={Smooth Shifts along Trajectories of Flows}, author={SERGEY MAKSYMENKO}, year={2003} }

- 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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