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Sequences of harmonic maps in the 3-sphere

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 K¨ahler manifold S3 × S3. As a consequence we can construct sequences of H-surfaces and almost complex surfaces.
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Submitted on : Monday, February 22, 2021 - 12:33:17 PM
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Bart Dioos, Joeri van der Veken, Luc Vrancken. Sequences of harmonic maps in the 3-sphere. Mathematical News / Mathematische Nachrichten, Wiley-VCH Verlag, 2015, 288 (17-18), pp.2001-2015. ⟨10.1002/mana.201400271⟩. ⟨hal-03148557⟩



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