Geodesic
Riemannian foliations with parallel or harmonic basic forms
Archivum mathematicum, Tome 51 (2015) no. 1, pp. 51-65.

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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.
DOI : 10.5817/AM2015-1-51
Classification : 53C12, 53C20, 53C24, 57R30
Keywords: Riemannian foliation; parallel and harmonic basic forms; O’Neill tensor 
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El Chami, Fida; Habib, Georges; Nakad, Roger. Riemannian foliations with parallel or harmonic basic forms. Archivum mathematicum, Tome 51 (2015) no. 1, pp. 51-65. doi : 10.5817/AM2015-1-51. http://geodesic.mathdoc.fr/articles/10.5817/AM2015-1-51/

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