Ricci curvature

Definition

In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object that is determined by a choice of Riemannian or pseudo-Riemannian metric on a manifold. It can be considered, broadly, as a measure of the degree to which the geometry of a given metric tensor differs locally from that of ordinary Euclidean space or pseudo-Euclidean space.

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