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Ricci Curvature and Singularities of Constant Scalar Curvature Metrics
A. Raouf Chouikha
In this work we consider periodic spherically symmetric metrics of constant positive scalar curvature on the n-dimensional cylinder called pseudo-cylindric metrics. These metrics b…
Remark on a conjecture of conformal transformations of Riemannian manifolds
A. Raouf Chouikha
Ejiri gave a negative answer to a conjecture of Lichnerowicz concerning Riemannian manifolds with constant scalar curvature admitting an infinitesimal non isometric conformal trans…
On the Existence of Certain Metrics with Non Parallel Ricci Tensor
A. Raouf Chouikha
A. Derdzinki [D] gave examples of Riemannian metrics with harmonic curvature and non parallel Ricci tensor on some compact manifolds . We examine their existence as well as…
Non Parallelism of Ricci tensor of Pseudo-cylindric Metrics
A. Raouf Chouikha
We descrive examples of metrics in the conformal class on complete conformally flat Riemannian manifolds These metrics have a constant scalar curvature and an harmon…