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New constructions of twistor lifts for harmonic maps - MaRDI portal

New constructions of twistor lifts for harmonic maps (Q404024)

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scientific article; zbMATH DE number 6336318
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New constructions of twistor lifts for harmonic maps
scientific article; zbMATH DE number 6336318

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    New constructions of twistor lifts for harmonic maps (English)
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    29 August 2014
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    The authors prove that if \(\varphi\) is a harmonic map from a Riemann surface to a classical simply connected inner symmetric space, then there is a twistor lift of \(\varphi\) or \(-\varphi\) if and only if \(\varphi\) is nilconformal. Many other results are given, including explicit formulae for twistor lifts.
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    harmonic map
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    Riemann surface
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    bundles
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    twistor lifts
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    extended solutions
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