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Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds

Paul-Andi Nagy
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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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Paul-Andi Nagy. 2002-04-03. Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds. https://arxiv.org/abs/math/0204046

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