Skip to main content
SpringerLink
Log in

On the evolution of harmonic mappings of Riemannian surfaces

  • Published:
Commentarii Mathematici Helvetici

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. J. Eells andL. Lemaire,A report on harmonic maps, Bull. London Math. Soc.10 (1978), 1–68.

    MATH  MathSciNet  Google Scholar 

  2. J. Eells andJ. H. Sampson,Harmonic mappings of Riemannian manifolds, Am. J. Math.86 (1964), 109–160.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Hamilton,Harmonic maps of manifolds with boundary, L.N.M. 471, Springer, Berlin-Heidelberg-New York, 1975.

    MATH  Google Scholar 

  4. S. Hildebrandt,Nonlinear elliptic systems and harmonic mappings, Proc. Beijing Symp. Diff. Geom. 5 Diff. Eq. 1980, Science Press, Beijing, 1982, also in Vorlesungsreihe No. 3, SFB 72, Bonn, 1980.

  5. J. Jost,Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses, Manusc. Math.38 (1982), 129–130.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Jost,Harmonic maps between surfaces, L.N.M. 1062 Springer, Berlin-Heidelberg-New York, 1984.

    MATH  Google Scholar 

  7. O. A. Ladyženskaya, V. A. Solonnikov, andN. N. Ural'ceva,Linear and quasilinear equations of parabolic type, AMS Transl. Math. Monogr. 23, Providence, 1968.

  8. J. Sacks andK. Uhlenbeck,The existence of minimal immersions of 2-spheres, Ann. Math.113 (1981), 1–24.

    Article  MathSciNet  Google Scholar 

  9. R. Schoen andK. Uhlenberck,A regularity theory for harmonic maps, J. Diff. Geom.17 (1982), 307–335.

    Google Scholar 

  10. W. von Wahl,Verhalten der Lösungen parabolischer Gleichungen für t→∞ mit Lösbarkeit im Großen, Nachr. Akad. Wiss. Göttingen,5; (1981).

  11. W. Wieser, (to appear).

Download references

Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik Universitat, Beringstrasse 4-6, D-5300, Bonn 1

    Michael Struwe

Authors
  1. Michael Struwe
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported by the Forschungsinstitut für Mathematik at the ETH Zürich

Rights and permissions

Reprints and permissions

About this article

Cite this article

Struwe, M. On the evolution of harmonic mappings of Riemannian surfaces. Commentarii Mathematici Helvetici 60, 558–581 (1985). https://doi.org/10.1007/BF02567432

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567432

Keywords

Search

Navigation