Skip to main content
SpringerLink
Log in

Affine isoperimetric problems and surfaces with constant affine mean curvature

  • Published:
manuscripta mathematica 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. Barbosa, J. L., do Carmo, M.: Stability of hypersurfaces with constant mean curvature. Math. Z.185, 339–353 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  2. Blaschke, W.: Vorlesungen über Differentialgeometrie II, Affine Differential-geometrie. Berlin J. Springer 1923

    Google Scholar 

  3. Calabi, E.: Hypersurfaces with maximal affinely invariant area. Amer. J. Math.104, 91–126 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  4. Martínez, A., Milán, F.: Convex affine surfaces with constant affine mean curvature. Lecture Notes in Mathematics1481, 138–144 (1991)

    Article  Google Scholar 

  5. Martínez, A., Milán, F.: On affine-maximal ruled surfaces. Math. Z.208, 635–644 (1991)

    MATH  MathSciNet  Google Scholar 

  6. Penn, G., Simon, U.: Deformations of hypersurfaces in equiaffine differential geometry. Ann. Global Anal. Geom. Vol.5, No.2, 123–131 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  7. Verstraelen, L., Vrancken, L.: Affine variation formulas and affine minimal surfaces. Michigan Math. J.36, 77–93 (1989)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, España

    A. Martínez & F. Milán

Authors
  1. A. Martínez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Milán
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research partially supported by DGICYT Grant PB90-0014-Co3-02

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martínez, A., Milán, F. Affine isoperimetric problems and surfaces with constant affine mean curvature. Manuscripta Math 75, 35–41 (1992). https://doi.org/10.1007/BF02567069

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567069

Keywords

Search

Navigation