ArcCurvature

ArcCurvature[{x1,…,xn},t] gives the curvature of the parametrized curve whose Cartesian coordinates xi are functions of t.

ArcCurvature[{x1,…,xn},t,chart] interprets the xi as coordinates in the specified coordinate chart.

Please visit the official Wolfram Language Reference for more details and examples on core symbols.