Sequences of harmonic maps in the 3-sphere - Université Polytechnique des Hauts-de-France Access content directly
Journal Articles Mathematical News / Mathematische Nachrichten Year : 2015

Sequences of harmonic maps in the 3-sphere


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.
Fichier principal
Vignette du fichier
1408.4414.pdf (186.36 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03148557 , version 1 (05-07-2022)



Bart Dioos, Joeri van Der Veken, Luc Vrancken. Sequences of harmonic maps in the 3-sphere. Mathematical News / Mathematische Nachrichten, 2015, 288 (17-18), pp.2001-2015. ⟨10.1002/mana.201400271⟩. ⟨hal-03148557⟩
30 View
15 Download



Gmail Facebook Twitter LinkedIn More