Kähler manifolds with split tangent bundle

Marco Brunella (1) , Jorge Vitorio Pereira (2) , Frédéric Touzet (3)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 IMPA - Instituto Nacional de Matemática Pura e Aplicada
3 IRMAR - Institut de Recherche Mathématique de Rennes

We study in this paper compact kaeler manifolds whose tangent bundle splits as a sum of subbundles. Under some suitable assumption, this infetitesimal splitting G is retated whith a splitting of the universal covering .

Mots clés: kähler manifolds

Domaines: Géométrie différentielle [math.DG]

Marco Brunella, Jorge Vitorio Pereira, Frédéric Touzet. Kähler manifolds with split tangent bundle. Bulletin de la société mathématique de France, 2006, 134 (2), pp.241-252. ⟨hal-00003487⟩