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).