Sequences of harmonic maps in the 3‐sphere |
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| Authors: | Bart Dioos Joeri Van der Veken Luc Vrancken |
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| Affiliation: | 1. KU Leuven, Departement Wiskunde, Leuven, Belgium;2. LAMAV, Université de Valenciennes, Campus du Mont Houy, Valenciennes Cedex 9, France |
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| Abstract: | We define two transforms of non‐conformal harmonic maps from a surface into the 3‐sphere. With these transforms one can construct, from one such harmonic map, a sequence of harmonic maps. We show that there is a correspondence between harmonic maps into the 3‐sphere, H‐surfaces in Euclidean 3‐space and almost complex surfaces in the nearly Kähler manifold  . As a consequence we can construct sequences of H‐surfaces and almost complex surfaces. |
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| Keywords: | 3‐sphere almost complex surface harmonic map pseudo‐holomorphic curve Primary: 58E20 Secondary: 53C42 |
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