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Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds

Paul-Andi Nagy

math.DGarXiv:math/0204046

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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