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Integrability and vesture for harmonic maps into symmetric spaces

Integrability and vesture for harmonic maps into symmetric spaces

After formulating the notion of integrability for axially symmetric harmonic maps from [Formula: see text] into symmetric spaces, we give a complete and rigorous proof that, subject to some mild restrictions on the target, all such maps are integrable. Furthermore, we prove that a variant of the inverse scattering method, …