Harmonic Maps of Surfaces into De Sitter Spaces

Emma Carberry
Sydney University


Abstract: De Sitter spaces S(m, 1) are the spheres in Minkowski space R(m, 1) and are fundamental examples of non-compact symmetric spaces. We shall explain how harmonic maps of surfaces into S(2n, 1) can be studied more simply by viewing their lifts into appropriate flag manifolds, and applying integrable systems techniques. The flag manifold in question depends upon the isotropy order of the harmonic map.

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