Skip to main content

Atiyah sequences and complete closed pseudogroups preserving a local parallelism

Part of the Lecture Notes in Mathematics book series (LNM,volume 1345)

Keywords

  • Exact Sequence
  • Principal Bundle
  • Differentiable Manifold
  • Riemannian Foliation
  • Local Diffeomorphisms

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Almeida and P. Molino: "Suites d'Atiyah, feuilletages et quantification géométrique". Colloque de Géométrie différentielle 1984–1985 de Montpellier

    Google Scholar 

  2. R. Almeida and P. Molino: "Suites d'Atiyah et feuilletages transversalement complets". C.R. Acad. Sci., Paris, Sér. I 300, 13–15 (1985)

    MathSciNet  MATH  Google Scholar 

  3. M. Atiyah: "Complex analytic connections on fibre bundles". Trans. Am. Math. Soc., 85 (1957) pp 181–207

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. A. Haefliger: "Pseudogroups of local isometries". Colloquio de Geometria Differencial de Santiago de Compostela, Sept. 1984. Research Nores 131, Pitman (1985) pp 174–197

    Google Scholar 

  5. K. Mackenzie: "Cohomology of local trivial groupoids and Lie algebroids". Bull. Austral. Math. Soc., vol 20 (1979)

    Google Scholar 

  6. P. Molino: "Feuilletages transversalement complets et applications". Ann. Ec. Norm. Sup. Paris, 10 (1977) pp 289–307

    MathSciNet  MATH  Google Scholar 

  7. J. Pradines: "Troisième théorème de Lie pour les groupoids différentiables". C.R.Ac. Sc. Paris, 267 A (1968) pp 21–23

    MathSciNet  MATH  Google Scholar 

  8. J. Pradines: "Théorie de Lie pour les groupoids différentiables". C.R.Ac. Sc. Paris, 264 A (1967) pp 245–248

    MathSciNet  MATH  Google Scholar 

  9. B. Reinhart: "Foliated manifolds with bundle-like metrics". Ann. of Math. 69 (1959) pp 119–132

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. E. Salem: "Une généralisation du théorème de Myers-Steenrod aux pseudogroups d'isométries locales". Colloque de Géométrie Différentielle (1985–1986) de Montpellier.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Silva, A.M.F. (1988). Atiyah sequences and complete closed pseudogroups preserving a local parallelism. In: Gomez-Mont, X., Seade, J.A., Verjovski, A. (eds) Holomorphic Dynamics. Lecture Notes in Mathematics, vol 1345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081409

Download citation

  • DOI: https://doi.org/10.1007/BFb0081409

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50226-5

  • Online ISBN: 978-3-540-45957-6

  • eBook Packages: Springer Book Archive