Advertisement

Mathematische Annalen

, Volume 245, Issue 2, pp 89–99 | Cite as

Weierstrass formula for surfaces of prescribed mean curvature

  • Katsuei Kenmotsu
Article

Keywords

Weierstrass Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Ahlfors, L.V.: Lectures on quasiconformal mappings. New York: Van Nostrand 1966Google Scholar
  2. 2.
    Gulliver 11, R.D., Osserman, R., Roydon, H.L.: A theory of branched immersions of surfaces. Am. J. Math.95, 750–812 (1973)Google Scholar
  3. 3.
    Kenmotsu, K.: The Weierstrass formula for surfaces of prescribed mean curvature. Minimal submanifolds and geodesics. Tokyo: Kaigai Publications 1978Google Scholar
  4. 4.
    Osserman, R.: A survey of minimal surfaces. New York: Van Nostrand 1969Google Scholar
  5. 5.
    Ruh, E.A., Vilms, J.: The tension field of the Gauss map. Trans. Am. Math. Soc.149, 569–573 (1970)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Katsuei Kenmotsu
    • 1
  1. 1.Department of Mathematics, College of General EducationTôhoku UniversitySendaiJapan

Personalised recommendations