Skip to main content

On riemannian metrics adapted to three-dimensional contact manifolds

Ad-Hoc Vorträge

Part of the Lecture Notes in Mathematics book series (LNM,volume 1111)

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

Buying options

eBook
USD   19.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   29.95
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. J.M. Bony, Principe du maximum, inégalité de Harnack, et unicité du problème de Cauchy pour les opérateurs elliptiques dégénerés. Ann. Inst. Fourier 19(1969), 277–304.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. A. Douady, Noeuds et structures de contact en dimension 3, d’après Daniel Bennequin, Séminaire Bourbaki, 1982/83, no.o 604.

    Google Scholar 

  3. G.B. Folland and E.M. Stein, Estimates for the ∂b-complex and analysis on the Heisenberg group, Comm. Pure and App. Math 27(1974), 429–522.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J.W. Gray, Some global properties of contact structures, Annals of Math 69(1959), 421–450.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. R. Hamilton, The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc. 7(1982), 65–222.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. R. Hamilton, Three-manifolds with positive Ricci curvature, J. Diff. Geom. 17(1982), 255–306.

    MathSciNet  MATH  Google Scholar 

  7. D. Jerison and J. Lee, A subelliptic, non-linear eigenvalue problem and scalar curvature on CR manifolds, Microlocal Analysis, Amer. Math. Soc. Contemporary Math Series, 27(1984), 57–63.

    MathSciNet  Google Scholar 

  8. J. Martinet, Formes de contact sur les variétés de dimension 3, Proc. Liverpool Singularities Symp II, Springer Lecture Notes in Math 209(1971), 142–163.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, preprint 1984.

    Google Scholar 

  10. W. Thurston and H.E. Winkelnkemper, On the existence of contact forms. Proc. Amer. Math. Soc. 52(1975), 345–347.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. S.M. Webster, Pseudohermitian structures on a real hypersurface, J. Diff. Geom. 13(1978), 25–41.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Chern, S.S., Hamilton, R.S. (1985). On riemannian metrics adapted to three-dimensional contact manifolds. In: Hirzebruch, F., Schwermer, J., Suter, S. (eds) Arbeitstagung Bonn 1984. Lecture Notes in Mathematics, vol 1111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084596

Download citation

  • DOI: https://doi.org/10.1007/BFb0084596

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15195-1

  • Online ISBN: 978-3-540-39298-9

  • eBook Packages: Springer Book Archive