Non Parallelism of Ricci tensor of Pseudo-cylindric Metrics

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

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Differential Geometry, Mathematical Physics, 53C21, 53C25, 58G30

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http://salesiana.dossiersoluciones.com/handle/123456789/61122

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103143
 http://arxiv.org/abs/math/0103143

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arXiv