Skip to main content
SpringerLink
Log in

A Gauss-like map associated to a surface in ℝ3

  • Published:
Mathematische Zeitschrift 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.: Minimal surfaces in an Euclidian space ofN dimensions. In: Cairns, S.S. (ed.) Differential and Combinatorial Topology, pp. 187–198. Princeton: Princeton University Press 1965

    Google Scholar 

  2. Eells, J., Wood, J.C.: Harmonic maps from surfaces to complex projective spaces. Adv. Math.49, 217–263 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  3. Eels, J., Lemaire, L.: Selected topics in harmonic maps. (Reg. Conf. Ser. Math., vol. 50) Providence, RI: Am. Math. Soc. 1983

    Google Scholar 

  4. Ishihara, T.: The harmonic Gauss maps in a generalized sense. J. Lond. Math. Soc.26, 104–112 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  5. Machado, A.: Geometria Diferencial, Uma Introdução Fundamental. Lisboa: Cosmos 1991

    Google Scholar 

  6. Obata, M.: The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature. J. Differ. Geom.2, 217–223 (1968)

    MATH  MathSciNet  Google Scholar 

  7. Ruh, E.A., Vilms, J.: The tension field of the Gauss map. Trans. Am. Math. Soc.149, 569–573 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  8. Spivak, M.: Differential Geometry III. Berkeley: Publish or Perish, Inc. 1979

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CMAF e Departamento de Matemática, Faculdade de Ciências de Lisboa, R. Ernesto de Vasconcelos, Bloco C1, 1700, Lisboa, Portugal

    Cecília Ferreira

Authors
  1. Cecília Ferreira
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

During the preparation of this work, the author had a grant from INIC, Portugal

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ferreira, C. A Gauss-like map associated to a surface in ℝ3 . Math Z 209, 363–373 (1992). https://doi.org/10.1007/BF02570841

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02570841

Keywords

Search

Navigation