Riemannian foliations with parallel or harmonic basic forms
Differential Geometry
2013-10-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1310.8060,
title = {Riemannian foliations with parallel or harmonic basic forms},
author = {Fida EL Chami and Georges Habib and Roger Nakad},
journal= {arXiv preprint arXiv:1310.8060},
year = {2013}
}