Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds

Mathematics – Differential Geometry

Scientific paper

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9 pages, latex 2e

Scientific paper

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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