For 10 points, identify this quantity usually denoted kappa which describes how much a surface differs from being  flat.
A form of this property named for Melnikov generalizes it to measures, and the scalar form of this quantity is equal to the product of the metric tensor and the Ricci tensor. One form of this quantity is de ned as the determinant of theshape operator and is named for Gauss. The Frenet formulas express a curve in terms of torsion, starting point, and this quantity, which is equal to the   magnitude of the rate of change of the tangent vector. This quantity is de ned as the reciprocal of its namesake radius. For 10 points, identify this quantity usually denoted kappa which describes how much a surface differs from being  flat.
A form of this property named for Melnikov generalizes it to measures, and the scalar form of this quantity is equal to the product of the metric tensor and the Ricci tensor.
curvature