Skip to main content
SpringerLink
Log in

The Carathéodory metric on abelian Teichmüller disks

  • Published:
Journal d’Analyse Mathématique 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. L. Bers,Holomorphic differentials as functions of moduli, Bull. Amer. Math. Soc.67 (1961), 206–210.

    Article  MATH  MathSciNet  Google Scholar 

  2. L. Bers,An extremal problem for quasiconformal mappings and a theorem by Thurston, Acta Math.141 (1978), 73–98.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. J. Earle,On the Carathéodory metric in Teichmüller spaces, inDiscontinuous Groups and Riemann Surfaces, Ann. of Math. studies, Vol. 79, 1974, pp. 99–103.

  4. H. M. Farkas and I. Kra,Riemann Surfaces, Springer-Verlag, New York and Berlin, 1980.

    MATH  Google Scholar 

  5. S. Kobayashi,Hyperbolic Manifolds and Holomorphic Mappings, M. Dekker, New York, 1970.

    MATH  Google Scholar 

  6. I. Kra,Canonical mappings between Teichmüller spaces, Bull. Amer. Math. Soc.4 (1981), 143–179.

    MATH  MathSciNet  Google Scholar 

  7. H. E. Rauch,A transcendental view of the space of algebraic Riemann surfaces, Bull. Amer. Math. Soc.71 (1965), 1–39.

    MathSciNet  MATH  Google Scholar 

  8. H. L. Royden,Automorphisms and isometries of Teichmüller space, inAdvances in the Theory of Riemann Surfaces, Ann. of Math. Studies, Vol. 66, 1971, pp. 369–383.

  9. H. L. Royden,Invariant metrics on Teichmüller space, inContributions to Analysis, L. V. Ahlfors et al. (eds.), Academic Press, New York and London, 1974, pp. 393–399.

    Google Scholar 

  10. A. Selberg,On discontinuous groups in higher-dimensional symmetric spaces, inContributions to Function Theory, Bombay, 1960, pp. 147–164.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, State University of New York at Stony Brook, Stony Brook, 11794, Long Island, NY, USA

    Irwin Kra

Authors
  1. Irwin Kra
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research partially supported by NSF Grant MCS 7801248.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kra, I. The Carathéodory metric on abelian Teichmüller disks. J. Anal. Math. 40, 129–143 (1981). https://doi.org/10.1007/BF02790158

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02790158

Keywords

Search

Navigation