Curvature Scalar

The curvature scalar is given by

$$R\equiv g^{\mu\kappa} R_{\mu\kappa}\,,$$

where $g^{\mu\kappa}$ is the Metric Tensor and $R_{\mu\kappa}$ is the Ricci Tensor.

See also Curvature, Gaussian Curvature, Mean Curvature, Metric Tensor, Radius of Curvature, Ricci Tensor, Riemann-Christoffel Tensor