Skip to main content
SpringerLink
Log in

Convex hulls of complete minimal surfaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. Chern, S.S.: The geometry ofG-structures. Bull. Am. Math. Soc.72, 167–219 (1966)

    Google Scholar 

  2. Jones, P.W.: A complete bounded complex submanifold of ℂ3. Proc. Am. Math. Soc.76, 305–306 (1979)

    Google Scholar 

  3. Jorge, L.P.M., Xavier, F.: A complete minimal surface inR 3 between two parallel plances. Ann. Math.112, 203–206 (1980)

    Google Scholar 

  4. Jorge, L.P.M., Xavier, F.: An inequality between exterior diameter and the mean curvature of bounded immersions. Math. Z.178, 77–82 (1981)

    Google Scholar 

  5. Karp, L.: Subharmonic functions, harmonic mappings and isometric immersions, in the Seminar of differential geometry. Annals of Mathematics Studies, Vol. 102, ed. S. T. Yau. Princeton, NJ: Princeton University Press

  6. Koosis P.: Introduction toH p spaces. London Mathamatical Society. Lecture Note Series 40. Cambridge, NJ: Cambridge University Press 1980

    Google Scholar 

  7. Blaine Lawson, H., Jr.: Lectures on minimal submanifolds. Vol. I. Publish or Perish 1980

  8. Osserman, R.: A survey of minimal surfaces. Cincinnati, Toronto, London, Melbourne: Van Nostrand 1969

    Google Scholar 

  9. Spencer, D.C.: A function theoretic identity. Am. J. Math.65, 147–160 (1943)

    Google Scholar 

  10. Yau, S.T.: Problem 91 of Seminar of differential geometry. Annals of Mathematics Studies, Vol. 102, p. 690. Princeton, NJ: Princeton University Press

  11. Zygmund, A.: Trigonometric Series, Vol. II. London, New York: Cambridge University Press 1959

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Pernambuco, CEP: 5000 Cidade Universitária, Recife, Pernambuco, Brasil

    Frederico Xavier

Authors
  1. Frederico Xavier
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by UFPe, CNPq, and FINEP (Brazil)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xavier, F. Convex hulls of complete minimal surfaces. Math. Ann. 269, 179–182 (1984). https://doi.org/10.1007/BF01451417

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01451417

Keywords

Search

Navigation