The Jordan algebras of Riemann, Weyl and curvature compatible tensors

Carlo Alberto Mantica, Luca Guido Molinari

Given the Riemann, or the Weyl, or a generalized curvature tensor K, a symmetric tensor $b_{ij}$ is named `compatible' with the curvature tensor if $b_i{}^m K_{jklm} + b_j{}^m K_{k…