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Keywords:
Riemannian foliation; parallel and harmonic basic forms; O’Neill tensor
Riemannian foliation; parallel and harmonic basic forms; O’Neill tensor
Summary:
In this paper, we consider a Riemannian foliation that admits a nontrivial 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.
References:
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