Geodesic
Riemannian foliations with parallel or harmonic basic forms
Archivum mathematicum, Tome 51 (2015) no. 1, pp. 51-65 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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

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