The Schouten tensor is a mathematical object used in differential geometry and the theory of general relativity. It is a specific type of symmetric tensor derived from the Ricci curvature of a Riemannian or pseudo-Riemannian manifold.
Articles by others on the same topic
For dimension , the Schouten tensor packages the Ricci tensor and scalar curvature in the trace part of the Riemann curvature tensor. In dimension three it is , and the full Riemann curvature tensor is reconstructed from it.