Non Parallelism of Ricci tensor of Pseudo-cylindric Metrics
classification
🧮 math.DG
math-phmath.MP
keywords
metricscurvaturericcitensorclasscompleteconformalconformally
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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.
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