Source: wikibot/mean-curvature

= Mean curvature
{wiki=Mean_curvature}

Mean curvature is a geometric concept that arises in differential geometry, particularly in the study of surfaces. It measures the average curvature of a surface at a given point and is an important characteristic in the study of minimal surfaces and the geometry of manifolds. For a surface defined in three-dimensional space, the mean curvature \\( H \\) at a point is given by the average of the principal curvatures \\( k_1 \\) and \\( k_2 \\) at that point.