Advertisement

Communications in Mathematical Physics

, Volume 118, Issue 4, pp 641–649 | Cite as

Symmetric harmonic maps between spheres

  • Wei-Yei Ding
Article

Abstract

Necessary and sufficient conditions for the existence of symmetric harmonic maps between spheres are established.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [E-L]
    Eells, J., Lemaire, L.: A report on harmonic maps. Bull. Lond. Math. Soc.10, 1–68 (1978)Google Scholar
  2. [H]
    Hartman, P.: Ordinary differential equations. 2nd edn. Boston: Birkhäuser 1982Google Scholar
  3. [P]
    Palais, R.: Lusternik-Schnirelmann theory on Banach manifolds. Topology5, 115–132 (1966)Google Scholar
  4. [R]
    Ratto, A.: Construction d'applications harmoniques de spheres eucliennes, C.R. Acad. Sci. Paris304, Ser. I 185–196 (1987)Google Scholar
  5. [S]
    Smith, R.T.: Harmonic mappings of spheres. Am. J. Math.97, 364–385 (1975)Google Scholar
  6. [Y]
    Yau, S.-T. (ed.): Seminar on differential geometry. Princeton, NJ: Princeton University Press 1982Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Wei-Yei Ding
    • 1
  1. 1.Institute of MathematicsAcademia SinicaBeijingPeople's Republic of China

Personalised recommendations