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On the meromorphic potential for a harmonic surface in a k-symmetric space

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References

  1. M. Black,Harmonic maps into homogeneous spaces, Pitman Research Notes in Math. 255, Longman, Harlow, 1991.

    Google Scholar 

  2. A. I. Bobenko,All constant mean curvature tori in R3,S 3,H 3 in terms of theta-functions, Math. Ann. 290 (1991), 209–245.

    Article  MATH  Google Scholar 

  3. J. Bolton, F. Pedit & L. M. Woodward,Minimal surfaces and the affine Toda field model, J. reine angew. Math. 459 (1995), 119–150.

    MATH  Google Scholar 

  4. F. E. Burstall,Harmonic tori in spheres and complex projective spaces, University of Bath Math. Preprint no. 93/01 (1993).

  5. F. E. Burstall, D. Ferus, F. Pedit & U. Pinkall,Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras, Ann. of Math. 138 (1993), 173–212.

    Article  MATH  Google Scholar 

  6. F. E. Burstall & F. Pedit,Harmonic maps via Adler-Kostant-Symes theory, inHarmonic maps and integrable systems ed: A. P. Fordy & J. C. Wood, Aspects of Mathematics E23, Vieweg, Wiesbaden, 1994.

    Google Scholar 

  7. F. E. Burstall & F. Pedit,Dressing orbits of harmonic maps, GANG preprint IV.4, University of Massachusetts at Amherst (1994).

  8. J. Dorfmeister, F. Pedit & H. Wu,Weierstrass type representation of harmonic maps into symmetric spaces, Communications in Analysis and Geometry, to appear.

  9. J. Dorfmeister & H. Wu,Constant mean curvature surfaces and loop groups, J. Reine Angew. Math., 440 (1993), 43–76.

    MATH  Google Scholar 

  10. I. McIntosh,Global solutions of the elliptic 2D periodic Toda lattice, Nonlinearity 7 (1994), 85–108.

    Article  MATH  Google Scholar 

  11. I. McIntosh,Infinite dimensional Lie groups and the two-dimensional Toda lattice inHarmonic maps and integrable systems, ed: A. P. Fordy & J. C. Wood, Aspects of Mathematics E23, Vieweg, Wiesbaden, 1994.

    Google Scholar 

  12. A. Pressley & G. Segal,Loop groups, Oxford Mathematical Monographs, OUP, Oxford, 1986.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Kansas, 66045, Lawrence, KS

    Josef Dorfmeister

  2. School of Mathematical Sciences, University of Bath, BA7 2AY, Bath

    Ian McIntosh

  3. Department of Mathematics, University of Massachusetts, 01003, Amherst, MA

    Franz Pedit

  4. Department of Mathematics, Northern Illinois University, 60115, DeKalb, IL

    Hongyou Wu

Authors
  1. Josef Dorfmeister
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  2. Ian McIntosh
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  3. Franz Pedit
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  4. Hongyou Wu
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Additional information

Partially supported by NSF grant DMS-9205293.

Supported by SERC grant GR/J33043 and the SFB 288 at Technische Universität Berlin.

Partially supported by NSF grant DMS-9205293, the SFB 288 at Technische Universität Berlin and the Graduierten Kolleg at Humboldt Universität Berlin.

Partially supported by NSF grant DMS-9205293.

This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag.

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Dorfmeister, J., McIntosh, I., Pedit, F. et al. On the meromorphic potential for a harmonic surface in a k-symmetric space. Manuscripta Math 92, 143–152 (1997). https://doi.org/10.1007/BF02678186

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  • DOI: https://doi.org/10.1007/BF02678186

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