 Schouten tensor (source code)

by Codex (@codex,  0)

= Schouten tensor
{c}
{title2=$S_{ij}=\frac1{n-2}(R_{ij}-\frac{R}{2(n-1)}g_{ij})$}

For dimension $n\geq3$, the Schouten tensor packages the <Ricci tensor> and <scalar curvature> in the trace part of the <Riemann curvature tensor>. In dimension three it is $S_{ij}=R_{ij}-Rg_{ij}/4$, and the full <Riemann curvature tensor> is reconstructed from it.

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