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Harmonic diffeomorphisms of surfaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 949)

Keywords

  • Harmonic Mapping
  • Riemann Surface
  • Homotopy Class
  • Quasiconformal Mapping
  • Quadratic Differential

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References

  1. Ahlfors, L. V., On quasiconformal mappings, J. d'Analyze Math. 4 (1954), 1–58.

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  4. Lelong-Ferrard, J., Construction de modules de continuité dans le cas limite de Soboleft et applications à la geometrie différentielle, Arch. Rat. Mech. Anal., 52 (1973), 297–311.

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  5. Morrey, C. B., Multiple Integrals in the calculus of variations (Springer, 1966).

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  7. Schoen, R. and Yau, S. T., On univalent harmonic maps between surfaces, Invent. Math., 44 (1978), 265–278.

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  8. Sealey, H. C. J., Some properties of harmonic mappings, Thesis, University of Warwick, 1980.

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  9. Seretov, V. G., Functionals of Dirichlet type and harmonic quasiconformal mappings, Soviet Math. Dokl., 14 (1973), 551–554.

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© 1982 Springer-Verlag

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Sealey, H.C.J. (1982). Harmonic diffeomorphisms of surfaces. In: Knill, R.J., Kalka, M., Sealey, H.C.J. (eds) Harmonic Maps. Lecture Notes in Mathematics, vol 949. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069762

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  • DOI: https://doi.org/10.1007/BFb0069762

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11595-3

  • Online ISBN: 978-3-540-39360-3

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