manuscripta mathematica

, Volume 152, Issue 3–4, pp 399–432 | Cite as

Harmonic spheres in outer symmetric spaces, their canonical elements and Weierstrass-type representations

  • N. Correia
  • R. Pacheco


Making use of Murakami’s classification of outer involutions in a Lie algebra and following the Morse-theoretic approach to harmonic two-spheres in Lie groups introduced by Burstall and Guest, we obtain a new classification of harmonic two-spheres in outer symmetric spaces and a Weierstrass-type representation for such maps. Several examples of harmonic maps into classical outer symmetric spaces are given in terms of meromorphic functions on \(S^2\).

Mathematics Subject Classification

58E20 53C35 53C43 


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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Universidade da Beira InteriorCovilhãPortugal

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