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The Hijazi inequalities on complete Riemannian ${Spin}^{c}$ manifolds.

Nakad, Roger — 2011

Advances in Mathematical Physics

Riemannian foliations with parallel or harmonic basic forms

Fida El Chami; Georges Habib; Roger Nakad — 2015

Archivum Mathematicum

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.

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The Hijazi inequalities on complete Riemannian Spin c manifolds.

Riemannian foliations with parallel or harmonic basic forms

The Hijazi inequalities on complete Riemannian ${Spin}^{c}$ manifolds.