Skip to main content

On the stability of holomorphic foliations with all leaves compact

  • Conference paper
  • First Online:
Variétés Analytiques Compactes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 683))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Bourbaki, N.: Topologie générale, Chap. I, 3. éd., Hermann, Paris (1961).

    MATH  Google Scholar 

  2. Cartan, H.: Quotient d'un espace analytique par un groupe d'automorphismes. Algebraic Geometry and Topology, a symposium in honor of S. Lefschetz; 90–102, Princeton University Press (1957).

    Google Scholar 

  3. Cartan, H.: Quotients of complex analytic spaces. Contributions to Function Theory. International Colloquium on Function Theory, Tata Institute of Fundamental Research, Bombay (1960).

    Google Scholar 

  4. Edwards, R., Millett, K., Sullivan, D.: Foliations with all leaves compact. Publ. I.H.E.S., June 1975.

    Google Scholar 

  5. Epstein, D.B.A.: Periodic flows on three manifolds. Ann. of Math. 95, 66–82 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  6. Epstein, D.B.A.: Foliations with all leaves compact. Ann. Inst. Fourier, Grenoble, 26,1 (1976), 265–282.

    Article  MathSciNet  MATH  Google Scholar 

  7. Holmann, H.: Local properties of holomorphic mappings. Proc. Conf. on Complex Analysis, Minneapolis 1964. Springer 1965.

    Google Scholar 

  8. Holmann, H.: Holomorphe Blätterungen komplexer Räume. Comment. Math. Helvetici 47, 185–204 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  9. Holmann, H.: Analytische periodische Strömungen auf kompakten komplexen Räumen. Comment. Math. Helvetici 52, 251–257 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  10. Reeb, G.: Sur certaines propriétés topologiques des variétés feuilletées. Act. Sci. et Ind. No 1183, Hermann, Paris (1952).

    MATH  Google Scholar 

  11. Sullivan, D.: A counterexample to the periodic orbit conjecture. Publ. I.H.E.S. No 46 (1976).

    Google Scholar 

  12. Sullivan, D.: A new flow. Bull. Am.Math. Soc. 82, 331–332 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  13. Vogt, E.: Foliations of codimension 2 with all leaves compact. Manuscripta math. 18, 187–212 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  14. Wadsley, A.W.: Geodesic foliations by circles, University of Warwick.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Y. Hervier A. Hirschowitz

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Holmann, H. (1978). On the stability of holomorphic foliations with all leaves compact. In: Hervier, Y., Hirschowitz, A. (eds) Variétés Analytiques Compactes. Lecture Notes in Mathematics, vol 683. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063180

Download citation

  • DOI: https://doi.org/10.1007/BFb0063180

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08949-0

  • Online ISBN: 978-3-540-35710-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics