The structure of uniruled manifolds with split tangent bundle

Details The structure of uniruled manifolds with split tangent bundle The structure of uniruled manifolds with split tangent bundle

2006-12-21

arxiv.org/abs/math/0612635v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

In this paper we show that a uniruled manifold with a split tangent bundle
admits almost holomorphic fibrations that are related to the splitting. We
analyse these fibrations in detail in several special cases, this yields new
results about the integrability of the direct factors and the universal
covering of the manifold.

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