Svensson, M and Wood, JC orcid.org/0000-0003-0024-4673 (2015) Harmonic maps into the exceptional symmetric space G₂/SO(4). Journal of the London Mathematical Society, 91 (1). pp. 291-319. ISSN 0024-6107
Abstract
We show that a harmonic map from a Riemann surface into the exceptional symmetric space G₂/SO(4) has a J₂ -holomorphic twistor lift into one of the three flag manifolds of G₂ if and only if it is ‘nilconformal’, that is, has nilpotent derivative. Then we find relationships with almost complex maps from a surface into the 6-sphere; this enables us to construct examples of nilconformal harmonic maps into G₂/SO(4) that are not of finite uniton number, and that have lifts into any of the three twistor spaces. Harmonic maps of finite uniton number are all nilconformal; for such maps, we show that our lifts can be constructed explicitly from extended solutions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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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: | 10 Feb 2017 16:27 |
Last Modified: | 17 Dec 2020 10:33 |
Published Version: | https://dx.doi.org/10.1112/jlms/jdu073 |
Status: | Published |
Publisher: | Oxford University Press |
Identification Number: | 10.1112/jlms/jdu073 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109449 |