Skip to main content
SpringerLink
Log in

Foliations that are not approximable by smoother ones

  • Conference paper
  • First Online:
Geometric Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1007))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, B., Commuting diffeomorphisms and unsmoothable actions. Mimeographed, CA 1975.

    Google Scholar 

  2. Anosov, D., Geodesic Flows on Compact Riemannian Manifolds of Negative Curvature. Proc. Steklov Math. Inst. 90 (1967).

    Google Scholar 

  3. Cohen, M., Thesis, U. Calif (Berkeley), 1968.

    Google Scholar 

  4. Denjoy, A., Sur les courbes définies par les équations differentielle à la surface du tore. J. de Math. Pures et Appliquées 11 (1932), 333–365.

    MATH  Google Scholar 

  5. Harrison, J., Unsmoothable diffeomorphisms. Ann. Math. 102 (1975), 85–94.

    Article  MathSciNet  MATH  Google Scholar 

  6. Hart, D., On the smoothness of generators for flows and foliations. To appear.

    Google Scholar 

  7. Hirsch, M., Differential Topology. Springer-Verlag, New York, 1976.

    Book  MATH  Google Scholar 

  8. _____, Stability of compact leaves of foliations. Dynamical Systems (M. Peixoto, ed.), Academic Press, New York, 1973.

    Google Scholar 

  9. _____, Stability of stationary points of group actions. Ann. Math. 109 (1979), 537–544.

    Article  MathSciNet  MATH  Google Scholar 

  10. Hirsch, M. and Pugh, C., Stable manifolds and hyperbolic sets. Proc. Symp. Pure Math. 14, 133–164.

    Google Scholar 

  11. Hirsch, M., Pugh, C., and Shub, M., Invariant Manifolds, Lecture Notes in Math. No. 58h, Springer-Verlag, New York, 1977.

    Book  MATH  Google Scholar 

  12. Pixton, D., Nonsmoothable, unstable group actions. Trans. Amer. Math. Soc. 220 (1977), 250–268.

    MathSciNet  MATH  Google Scholar 

  13. Rosenberg, H. and Thurston, W., Some remarks on foliations. Dynamical Systems (M. Peixoto, ed.), Academic Press, New York, 1973.

    Google Scholar 

  14. Sacksteder, R., Foliations and pseudo-groups. Amer. J. Math. 88 (1065), 79–192.

    MathSciNet  MATH  Google Scholar 

  15. Smale, S., Differentiable dynamical systems. Bull. Amer. Math. Soc. 73 (1967), 747–817.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of California at Berkeley, USA

    Christopher Ennis, Morris W. Hirsch & Charles Pugh

Authors
  1. Christopher Ennis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Morris W. Hirsch
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Charles Pugh
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. Palis Jr.

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Ennis, C., Hirsch, M.W., Pugh, C. (1983). Foliations that are not approximable by smoother ones. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061416

Download citation

  • DOI: https://doi.org/10.1007/BFb0061416

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12336-1

  • Online ISBN: 978-3-540-40969-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation