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math.DG2001
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…
math.DG2001
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…