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arXiv · 1408.4414

Sequences of harmonic maps in the 3-sphere

Bart Dioos·Joeri Van der Veken·Luc Vrancken
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Abstract

We define two transforms between 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 non-conformal harmonic maps into the 3-sphere, $H$-surfaces in Euclidean 3-space and almost complex surfaces in the nearly K\"ahler manifold $S^3\times S^3$. As a consequence we can construct sequences of $H$-surfaces and almost complex surfaces.

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Bart Dioos, Joeri Van der Veken, Luc Vrancken. 2014-08-19. Sequences of harmonic maps in the 3-sphere. https://arxiv.org/abs/1408.4414

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