# quantify curvature

26 Apr 2017the curvature can be quantified with the invariant curvature \(R_{\mu\nu\rho\sigma} R^{\mu\nu\rho\sigma}\) or with the Ricci-scalar \(g^{\mu\nu} g^{\rho\sigma} R_{\rho\mu\sigma\nu}\). do they carry the same information? can you think of situations where the Ricci-scalar is zero but the invariant curvature is not?