Smooth Shifts along Trajectories of Flows

@inproceedings{MAKSYMENKO2003SmoothSA,
  title={Smooth Shifts along Trajectories of Flows},
  author={SERGEY MAKSYMENKO},
  year={2003}
}
  • SERGEY MAKSYMENKO
  • 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. 
Highly Cited
This paper has 21 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
17 Citations
5 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-5 of 5 references

The connected components of Morse-Smale vector fields on two manifolds. Geometry and topology

  • C. Gutiérrez, W. de Melo
  • (Proc. III Latin Amer. School of Math., Inst. Mat…
  • 1976
Highly Influential
10 Excerpts

The group of homeomorphisms of a solenoid

  • J. Keesling
  • Trans. Amer. Math. Soc.,
  • 1972
Highly Influential
6 Excerpts

Geometric theory of dynamical systems

  • J. Palis, W. de Melo
  • Tereshchenkovskaya str
  • 1982
1 Excerpt

Stability of C∞-mappings: II. Infinitesimal stability implies stability

  • J. Mather
  • Ann. of Math.,
  • 1969

Similar Papers

Loading similar papers…