Skip to main content
SpringerLink
Log in

Normal forms for real surfaces in C2 near complex tangents and hyperbolic surface transformations

  • Published:
Acta Mathematica

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bedford, E. & Gaveau, B., Envelopes of holomorphy of certain 2-spheres in C2. To appear inAmer. J. Math., 105 (1983).

  2. Birkhoff, G. D., The restricted problem of three bodies.Rend. Circ. Mat. Palermo, 39 (1915), 265–334. (In particular p. 310 and p. 329.)

    Article  MATH  Google Scholar 

  3. —, Surface transformations and their dynamical applications.Acta Math., 43 (1920), 1–119. (In particular p. 7.)

    Article  MATH  MathSciNet  Google Scholar 

  4. Bishop, E., Differentiable manifolds in complex Euclidean space.Duke Math. J., 32 (1965), 1–22.

    Article  MATH  MathSciNet  Google Scholar 

  5. Chern, S. S. &Moser, J. K., Real hypersurfaces in complex manifolds.Acta Math., 133 (1974), 219–271.

    Article  MathSciNet  Google Scholar 

  6. Freeman, M., Polynomial hull of a thin two-manifold.Pacific J. Math., 38 (1971), 377–389.

    MATH  MathSciNet  Google Scholar 

  7. Hunt, L. R., The local envelope of holomorphy of ann-manifold inC n.Bol. Un. Mat. Ital., 4 (1971), 12–35.

    MATH  Google Scholar 

  8. Kenig, C. &Webster, S., The local hull of holomorphy of a surface in the space of two complex variables.Invent. Math., 67 (1982), 1–21.

    Article  MATH  MathSciNet  Google Scholar 

  9. Lewy, H., On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables.Ann. of Math., 64 (1956), 514–522.

    Article  MATH  MathSciNet  Google Scholar 

  10. Moser, J., On the integrability of area-preserving Cremona mappings near an elliptic fixed point.Boletin de la Sociedad Matematica Mexicana (2) 5 (1960), 176–180.

    Google Scholar 

  11. Siegel, C. L. & Moser, J. K.,Lectures on Celestial Mechanics. Springer, 1971. (In particular, p. 166ff.)

  12. Siegel, C. L., Vereinfachter Beweis eines Satzes von J. Moser.Comm. Pure Appl. Math., 10 (1957), 305–309.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Forschungsinstitut für Mathematik ETH, Zürich, Switzerland

    Jürgen K. Moser

  2. University of Minnesota, Minneapolis, USA

    Sidney M. Webster

Authors
  1. Jürgen K. Moser
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sidney M. Webster
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Alfred P. Sloan Fellow. Partially supported by NSF, Grant No. MCS 8100793.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moser, J.K., Webster, S.M. Normal forms for real surfaces in C2 near complex tangents and hyperbolic surface transformations. Acta Math 150, 255–296 (1983). https://doi.org/10.1007/BF02392973

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392973

Keywords

Search

Navigation