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Riemannian foliations with parallel or harmonic basic forms

In this paper, we consider a Riemannian foliation whose normal bundle carries a parallel or harmonic basic form. We estimate the norm of the O'Neill tensor in terms of the curvature data of the whole manifold. Some examples are then given.

preprint2013arXivOpen access
Fida El ChamiGeorges HabibRoger Nakad
math.DG
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Fida El ChamiGeorges HabibRoger Nakad

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