Riemann Tensor

Some articles on riemann tensor, tensor:

List Of Formulas In Riemannian Geometry - Curvature Tensors - Ricci and Scalar Curvatures
... and scalar curvatures are contractions of the Riemann tensor ... They simplify the Riemann tensor, but contain less information ... The Ricci curvature tensor is essentially the unique nontrivial way of contracting the Riemann tensor The Ricci tensor is symmetric ...
Bel Decomposition - Decomposition of The Riemann Tensor
... In four dimensions the Bel decomposition of the Riemann tensor, with respect to a timelike unit vector field, not necessarily geodesic or hypersurface orthogonal, consists of three pieces the electrogravitic tensor ... these operators as E, B, L respectively, the principal invariants of the Riemann tensor are obtained as follows is the trace of E2 + L2 - 2 B BT, is the trace of B ( E - L ), is the trace of E L - B2 ...