Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds

preprint2002arXivOpen access

Abstract

We study Riemannian foliations with complex leaves on Kaehler manifolds. The tensor T, the obstruction to the foliation be totally geodesic, is interpreted as a holomorphic section of a certain vector bundle. This enables us to give classification results when the manifold is compact.

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