Espaces twistoriels et structures complexes non standards
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G. Deschamps
In this article we use the twistor theory in order to build "non standard" complex structures (with a meaning which we define) on the products of $4$-manifolds with the sphere of dimension two. To that end, we enumerate the set of complex surfaces whose twistor space is $\mathcal C^\infty$-trivial. Among these surface we will study those which admit an anti-self-dual riemannian metric.
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Deschamps, G. “Espaces twistoriels et structures complexes non standards”. Publicacions Matemàtiques, vol.VOL 52, no. 2, pp. 435-57, https://raco.cat/index.php/PublicacionsMatematiques/article/view/113442.