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Gaussian Curvature

Explore GaussianCurvature on MathWorld


Gaussian curvature is one type measure of the amount of "bending" a surface undergoes at a given point which is independent of the coordinate system used to describe it.

Gaussian curvature is a college-level concept that would be first encountered in a differential geometry course.

Prerequisites

Curvature: Curvature is a measure of the amount of bending of a curve or surface.

Classroom Articles on Differential Geometry (Up to College Level)

  • Differential Geometry
  • Mean Curvature
  • Differential k-Form