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Non Parallelism of Ricci tensor of Pseudo-cylindric Metrics

Differential Geometry 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We descrive examples of metrics in the conformal class [g][g] on complete conformally flat Riemannian manifolds (M,g].(M,g]. These metrics have a constant scalar curvature and an harmonic curvature with non parallel Ricci tensor.

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Cite

@article{arxiv.math/0103143,
  title  = {Non Parallelism of Ricci tensor of Pseudo-cylindric Metrics},
  author = {A. Raouf Chouikha},
  journal= {arXiv preprint arXiv:math/0103143},
  year   = {2007}
}

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11 pages