Let's have the metric for a sphere: dl2=R2(dψ2+sin2(ψ)(dθ2+sin2(θ)dφ2)). I tried to calculate Riemann or Ricci tensor's components, but I got problems with it.
The Ricci curvature must be Rij=2R2gij. But when I use definition of Ricci tensor, I can't turn the expression into the expression for the metric tensor
Maybe, there are siome hints, which can help?
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