Riemannian foliations with parallel or harmonic basic forms
classification
🧮 math.DG
keywords
basicharmonicparallelriemannianbundlecarriesconsidercurvature
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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.
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