Espaces de twisteurs des structures complexes g\'en\'eralis\'ees

Abstract

The aim of this article is to use generalized complex structures in order to extend the definition of twistor spaces given by Penrose. We will adapt the integrability result of Atiyah, Hitchin and Singer. We will deduce new correspondences betwenn differential geometry and (generalized) complex geometry. In the last section we will show how these results generalized Bredthauer's work.