Gaussian curvature is a numerical quantity associated with an area of a surface that describes the intrinsic geometric property of that area. It is different from the curvature of a curve, for that is an extrinsic geometric property defining how it is...

In differential geometry, the Gaussian curvature or Gauss curvature of a point on a surface is the product of the principal curvatures, κ1 and κ2, of the given point. It is an intrinsic measure of curvature, i.e., its value depends only on how...