Weierstrass type representation of harmonic maps into symmetric spaces ∗

  title={Weierstrass type representation of harmonic maps into symmetric spaces ∗},
  author={Josef Dorfmeister},
Over the past five years substantial progress has been made in the understanding of harmonic maps f :M → G/K of a compact Riemann surfaceM into a compact symmetric space G/K [29, 30, 12, 14, 17, 22, 5, 7, 10, 31]. When M is the Riemann sphere all such maps may be obtained from holomorphic curves into some associated twistor space [11, 29, 14]. In contrast, if M is a 2-torus, then every harmonic map φ:M → G/K (satisfying specific nondegeneracy assumptions) may be obtained from a solution to a… CONTINUE READING
Highly Influential
This paper has highly influenced 16 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 108 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
86 Citations
33 References
Similar Papers


Publications citing this paper.

109 Citations

Citations per Year
Semantic Scholar estimates that this publication has 109 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 33 references

Harmonic maps into Lie groups (classical solutions of the chiral model)

  • K. Uhlenbeck
  • J. Diff. Geom. 30
  • 1989
Highly Influential
8 Excerpts

Loop Groups

  • A. N. Pressley, G. Segal
  • Oxford Math. Monographs, Clarendon Press, Oxford
  • 1986
Highly Influential
8 Excerpts

Loop groups and equations of KdV type

  • G. Segal, G. Wilson
  • Pub. Math. de I.H.E.S. 61
  • 1985
Highly Influential
7 Excerpts

Banach manifolds of minimal surfaces in the 4-sphere

  • H. Wu
  • Differential Geometry (R.E. Greene and S.T. Yau…
  • 1993
1 Excerpt

Constant mean curvature surfaces and loop groups

  • J. Dorfmeister, H. Wu
  • J. reine angew. Math. 440
  • 1993
2 Excerpts

Global solutions of the elliptic 2D Toda lattice

  • I. McIntosh
  • 1992

Minimal tori in S4

  • D. Ferus, F. Pedit, U. Pinkall, I. Sterling
  • J. reine angew. Math. 429
  • 1992
1 Excerpt

Similar Papers

Loading similar papers…