Non-conformal harmonic maps into the 3-sphere

We present two transforms of non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct from one non-conformal harmonic map a sequence of non-conformal harmonic maps. We also discuss the correspondence between non-conformal harmonic maps into the 3-sphere,...

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Veröffentlicht in:International Journal of Geometric Methods in Modern Physics 2015-09, Vol.12 (8), p.1560012-1560017
1. Verfasser: Dioos, Bart
Format: Artikel
Sprache:eng
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Zusammenfassung:We present two transforms of non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct from one non-conformal harmonic map a sequence of non-conformal harmonic maps. We also discuss the correspondence between non-conformal harmonic maps into the 3-sphere, H-surfaces in Euclidean 3-space and almost complex surfaces in the nearly Kähler manifold S3 × S3.
ISSN:0219-8878