Gaussian curvature

The Gaussian curvatureMathworldPlanetmath of a surface at a point p is the product


of the two principal curvaturesMathworldPlanetmathPlanetmath of the surface at p.

The arithmetic meanMathworldPlanetmath of the principal curvatures at a point p


is called the mean curvatureMathworldPlanetmathPlanetmathPlanetmath of the surface at p.

Title Gaussian curvature
Canonical name GaussianCurvature
Date of creation 2013-03-22 17:00:56
Last modified on 2013-03-22 17:00:56
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 6
Author Mathprof (13753)
Entry type Definition
Classification msc 53A05
Synonym total curvature
Synonym total normal curvature
Related topic MeanCurvatureAtSurfacePoint
Defines mean curvature