Curvature tensor

In differential geometry, the term curvature tensor may refer to:
 * the Riemann curvature tensor of a Riemannian manifold &mdash; see also Curvature of Riemannian manifolds;
 * the curvature of an affine connection or covariant derivative (on tensors);
 * the curvature form of an Ehresmann connection: see Ehresmann connection, connection (principal bundle) or connection (vector bundle). It is one of the numbers that are important in the Einstein field equations.