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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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DOI

10.1002/jlac.183401202106

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1432-1823

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Harmonic maps of finite uniton number into Emphas

Authors: N Correia R Pacheco
Publish Date: 2011/02/19
Volume: 271, Issue: 1-2, Pages: 13-32
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Abstract

We establish explicit formulae for canonical factorizations of extended solutions corresponding to harmonic maps of finite uniton number into the exceptional Lie group G 2 in terms of the Grassmannian model for the group of based algebraic loops in G 2 A description of the “Frenet frame data” for such harmonic maps is given In particular we show that harmonic spheres into G 2 correspond to solutions of certain algebraic systems of quadratic and cubic equations

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