Kähler manifolds with split tangent bundle
Marco Brunella, Jorge Vitório Pereira, Frédéric Touzet (2006)
Bulletin de la Société Mathématique de France
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This paper is concerned with compact Kähler manifolds whose tangent bundle splits as a sum of subbundles. In particular, it is shown that if the tangent bundle is a sum of line bundles, then the manifold is uniformised by a product of curves. The methods are taken from the theory of foliations of (co)dimension 1.