Svensson, M and Wood, JC (2014) New constructions of twistor lifts for harmonic maps. Manuscripta Mathematica, 144 (3-4). pp. 457-502. ISSN 0025-2611
Abstract
We show that given a harmonic map φ from a Riemann surface to a classical compact simply connected inner symmetric space, there is a J2-holomorphic twistor lift of φ (or its negative) if and only if it is nilconformal. In the case of harmonic maps of finite uniton number, we give algebraic formulae in terms of holomorphic data which describes their extended solutions. In particular, this gives explicit formulae for the twistor lifts of all harmonic maps of finite uniton number from a surface to the above symmetric spaces.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2014, Springer Verlag. This is an author produced version of a paper published in Manuscripta Mathematica. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via https://doi.org/10.1007/s00229-014-0659-9 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 24 Mar 2017 12:43 |
Last Modified: | 21 Feb 2018 03:06 |
Published Version: | https://doi.org/10.1007/s00229-014-0659-9 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s00229-014-0659-9 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109447 |