Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds
classification
🧮 math.DG
keywords
complexfoliationskaehlerleavesmanifoldsriemannianbundlecertain
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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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