Harmonic morphisms and Hermitian complex structures on $\mathbb{S}^2 \times \mathbb{S}^2$
Résumé
In this paper, we investigate the structure of a harmonic morphism $F$ from $\mathbb{S}^2 \times \mathbb{S}^2$ to a $2$-surface $\mathbb{S}^2$. Baird-Ou construct a family of harmonic morphism from an open set of $\mathbb{S}^2 \times \mathbb{S}^2$ into $\mathbb{S}^2$. We check that they are holomorphic with respect to one of the canonical complex structure.
Origine : Fichiers produits par l'(les) auteur(s)
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