Resumé
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Manuscripta Mathematica |
| Vol/bind | 144 |
| Udgave nummer | 3-4 |
| Sider (fra-til) | 457-502 |
| ISSN | 0025-2611 |
| DOI | |
| Status | Udgivet - 2014 |
Fingeraftryk
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New constructions of twistor lifts for harmonic maps. / Svensson, Martin; C. Wood, John.
I: Manuscripta Mathematica, Bind 144, Nr. 3-4, 2014, s. 457-502.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review
TY - JOUR
T1 - New constructions of twistor lifts for harmonic maps
AU - Svensson, Martin
AU - C. Wood, John
PY - 2014
Y1 - 2014
N2 - We show that given a harmonic map \varphi from a Riemann surface into a classical simply connected compact inner symmetric space, there is a J_2-holomorphic twistor lift of \varphi (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.
AB - We show that given a harmonic map \varphi from a Riemann surface into a classical simply connected compact inner symmetric space, there is a J_2-holomorphic twistor lift of \varphi (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.
KW - math.DG
KW - 53C43 (Primary) 58E20 (Secondary)
U2 - 10.1007/s00229-014-0659-9
DO - 10.1007/s00229-014-0659-9
M3 - Journal article
VL - 144
SP - 457
EP - 502
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
SN - 0025-2611
IS - 3-4
ER -