Skip to main content
SpringerLink
Log in

Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one

  • Published:
Inventiones mathematicae Aims and scope

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. Adams, R.A.: Sobolev spaces. New York: Academic Press 1975

    Google Scholar 

  2. Gluck, H.: Dynamical behavior of geodesic fields. Global theory of dynamical systems. Lecture Notes in Mathematics, vol. 819, p. 190. Berlin-Heidelberg-New York: Springer 1979

    Google Scholar 

  3. Gluck, H., Singer, D.: Scattering of geodesic fields I. Ann. of Math.108, 347–372 (1978)

    Google Scholar 

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

    Google Scholar 

  5. Hardy, G.H., Wright, F.M.: An introduction to the theory of numbers, fourth ed., Oxford: Clarendon Press 1960

    Google Scholar 

  6. Leslie, J.: On the differentiable structure of groups of diffeomorphisms. Topology6, 263–271 (1967)

    Google Scholar 

  7. Lojasiewicz, S., Jr., Zehnder, E.: An inverse function theorem in Fréchet-spaces. J. Functional Analysis33, 165–174 (1979)

    Google Scholar 

  8. Moser, J.: A rapidly convergent iteration method and non-linear partial differential equations. Ann. Scuola Norm. Sup. Sci. Pis. Pisa20, 265–316 (1966)

    Google Scholar 

  9. Omori, H.: Infinite dimensional lie transformation groups. Lecture notes in mathematics, vol. 427. Berlin-Heidelber-New York: Springer 1974

    Google Scholar 

  10. Roth, K.F.: Rational approximations to algebraic numbers. Mathematica2, 1–20 (1955)

    Google Scholar 

  11. Sullivan, D.: A foliation of geodesics is characterized by having no tangent homologies. J. Pure Appl. Algebra13, 101–104 (1978)

    Google Scholar 

  12. Warner, F.W.: Foundations of differentiable manifolds and lie groups. Glenview, Illinois: Scott, Foresman and Co. 1971

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Case Western Reserve University, 44106, Cleveland, OH, USA

    Joel Langer & David A. Singer

Authors
  1. Joel Langer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. David A. Singer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported by NSF research grant MCS80-02871

Rights and permissions

Reprints and permissions

About this article

Cite this article

Langer, J., Singer, D.A. Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one. Invent Math 69, 229–242 (1982). https://doi.org/10.1007/BF01399503

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01399503

Keywords

Search

Navigation