Skip to main content
Log in

Minimal surfaces of constant Gaussian curvature in a pseudo-Riemannian sphere

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. M. Pinl, “MinimalflÄchen fester Gausschen Krümmung,” Math. Annalen.,136, 34–40 (1958).

    Google Scholar 

  2. Yu. G. Lumiste, “On the theory of two-dimensional minimal surfaces, II. Surfaces of constant curvature,” Uchen. Zap. Tartu Univ., No. 102, 16–28 (1961).

    Google Scholar 

  3. B. Y. Chen, “Minimal surfaces with constant Gauss curvature,” Proc. Amer. Math. Soc.,34, 504–508 (1972).

    Google Scholar 

  4. K. Kenmotsu, “Minimal surfaces with constant curvature in 4-dimensional space forms,” Proc. Amer. Math. Soc.,89, 133–138 (1983).

    Google Scholar 

  5. E. Cartan, Riemannian Geometry in an Orthogonal Frame [Russian translation], Moscow (1960).

  6. P. L. Eisenhart, Riemannian Geometry [Russian translation], Moscow (1948).

  7. V. P. Gorokh, “Two-dimensional minimal surfaces in a pseudo-Euclidean space,” Ukrain. Geom. Sb., No. 31, 18–28 (1987).

    Google Scholar 

Download references

Authors

Additional information

Translated from Ukrainskii Geometricheskii Sbornik, No. 32, pp. 27–34, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gorokh, V.P. Minimal surfaces of constant Gaussian curvature in a pseudo-Riemannian sphere. J Math Sci 59, 709–714 (1992). https://doi.org/10.1007/BF01097167

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01097167

Keywords

Navigation