Schouten tensor

Schouten tensor

In mathematics, more specifically Riemannian geometry, the Schouten tensor is for "n" > 3 dimensions,

:P=frac{1}{n - 2} left(Ric -frac{ R}{2 (n-1)} g ight),

where "Ric" is the Ricci tensor, "R" is the scalar curvature, "g" is the Riemannian metric and "n" is the dimension of the manifold.

The Weyl tensor equals the Riemann curvature tensor minus the Kulkarni–Nomizu product of the Schouten tensor with the metric.


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