Curvature Tensor

In differential geometry, the term curvature tensor may refer to:

• the Riemann curvature tensor of a Riemannian manifold — 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).