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arXiv · 1903.00885

A duality theorem for harmonic maps into inner symmetric spaces

Josef F. Dorfmeister·Peng Wang
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Abstract

In this note, we show that for any harmonic map into a non-compact symmetric space one can find naturally a "dual" harmonic map into a compact symmetric space which can be constructed from the same basic data (called "potentials" in the loop group formalism). Locally also the inverse/converse duality theorem holds.

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Josef F. Dorfmeister, Peng Wang. 2019-03-03. A duality theorem for harmonic maps into inner symmetric spaces. https://arxiv.org/abs/1903.00885

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