Skip to main content
SpringerLink
Log in

Complete surfaces inE 3 with constant mean curvature

  • Published:
Commentarii Mathematici Helvetici

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. Ahlfors andL. Sario,Riemann Surfaces, Princeton University Press, Princeton, 1960.

    MATH  Google Scholar 

  2. A. D. Aleksandrov,Uniqueness theorem for surfaces in the large, V, Vestnik Leningrad Univ. Ser. Mat. Meh. Astronom.13 (1958), 5–8.

    Google Scholar 

  3. L. Bers,Quasiconformal mappings and Teichmüller’s theorem, Conference on Analytic Functions, Princeton University Press, Princeton (1960), 89–119.

    Google Scholar 

  4. S. Cohn-Vossen,Kürzeste Wege und Totalkrümmung auf Flächen, Compositio Math. 2 (1935), 69–133.

    MATH  MathSciNet  Google Scholar 

  5. N. V. Efimov,Generation of singularities on surfaces of negative curvature, Mat. Sb. N.S.64 (1964), 286–320.

    MathSciNet  Google Scholar 

  6. R. Finn,Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature, J. Analyse Math.XIV (1965), 139–160.

    Article  MathSciNet  Google Scholar 

  7. H. Hopf,Über Flächen mit einer Relation zwischen den Hauptkrümmungen, Math. Nachr.4 (1951), 232–249.

    MATH  MathSciNet  Google Scholar 

  8. H. Hopf,Lectures on Differential Geometry in the Large, mimeographed notes, Stanford University, 1956.

  9. A. Huber,On subharmonic functions and differential geometry in the large, Comment. Math. Helv.32 (1957), 13–72.

    Article  MATH  MathSciNet  Google Scholar 

  10. R. Osserman,On complete minimal surfaces, Arch. Rational Mech. Anal.13 (1963), 392–404.

    Article  MATH  MathSciNet  Google Scholar 

  11. —,Global properties of minimal surfaces in E 3 and E n Ann. of Math.80 (1964), 340–364.

    Article  MathSciNet  Google Scholar 

Download references

Authors
  1. Tilla Klotz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert Osserman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported by grant NSF GP-2567 at UCLA, under a Ford Foundation grant at NYU, and under contract number DA-31-124-ARO(D)-170 at Stanford University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klotz, T., Osserman, R. Complete surfaces inE 3 with constant mean curvature. Commentarii Mathematici Helvetici 41, 313–318 (1966). https://doi.org/10.1007/BF02566886

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566886

Keywords

Search

Navigation