Schouten tensor

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

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.