Extended solutions of the harmonic map equation in the special unitary group

2013/04/15 by Correia, N., Pacheco, R.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.4264

Abstract

We classify all harmonic maps of finite uniton number from a Riemann surface into SU(n) in terms of certain pieces of the Bruhat decomposition of the subgroup of algebraic loops in SU(n). We give a description of the "Frenet frame data" for such harmonic maps in a given class.

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