In differential geometry, the Gaussian curvature or Gauss curvature (symbol Κ, named after Carl Friedrich Gauss) of a smooth surface in three-dimensional space at a point is the product of the two principal curvatures, κ1 and κ2, at the given point: K = κ 1 κ 2 . {\displaystyle K=\kappa _{1}\kappa _{2}.} For example, a sphere of radius r has Gaussian curvature 1/r2 everywhere, and a flat plane and a cylinder have Gaussian curvature zero everywhere.
In differential geometry, the Gaussian curvature or Gauss curvature (symbol Κ, named after Carl Friedrich Gauss) of a smooth surface in three-dimensional space at a point is the product of the two principal curvatures, κ1 and κ2, at the given point: K = κ 1 κ 2 . {\displaystyle K=\kappa _{1}\kappa _{2}.} For example, a sphere of radius r has Gaussian curvature 1/r2 everywhere, and a flat plane and a cylinder have Gaussian curvature zero everywhere.
Source: Wikipedia "Gaussian curvature" · CC BY-SA 4.0
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