Skip to main content
SpringerLink
Log in

Three-dimensional flattening of a surface when two of its integral characteristics coincide

  • 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

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

Literature cited

  1. D. Hoffman and R. Osserman, “The areas of the generalized Gaussian image and the stability of minimal surfaces in Rn and Sn,” Math. Ann.,260, 437–452 (1982).

    Google Scholar 

  2. P. Wintgen, “On the total curvature of surfaces in E4,” Collog. Math.,39, 289–296 (1978).

    Google Scholar 

  3. S. E. Kozlov, Spherical Mappings of Sufaces in Grassmann Bundles Over Riemannian Manifolds, Candidate of Technical Sciences Dissertation, typescript, Leningrad (1986).

  4. Yu. A. Aminov, “Torsion of two-dimensional surfaces in Euclidean spaces,” Ukrain. Geom. Sb., No. 17, 3–14 (1975).

    Google Scholar 

  5. J. Simons, “Minimal subsets of Riemannian manifolds,” in: Integral Currents and Minimal Surfaces [in Russian], Moscow (1973), pp. 132–197.

Download references

Authors
  1. S. E. Kozlov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Geometricheskii Sbornik, No. 32, pp. 65–70, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kozlov, S.E. Three-dimensional flattening of a surface when two of its integral characteristics coincide. J Math Sci 59, 737–741 (1992). https://doi.org/10.1007/BF01097172

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01097172

Keywords

Search

Navigation