Weierstrass type representation of harmonic maps into symmetric spaces ∗

@inproceedings{Dorfmeister1994WeierstrassTR,
  title={Weierstrass type representation of harmonic maps into symmetric spaces ∗},
  author={Josef Dorfmeister},
  year={1994}
}
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
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References

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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
  • PREPRINT
  • 1992

Minimal tori in S4

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

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