Mean Curvature

Natural & Formal Sciences Dictionary
An extrinsic scalar measure of how a surface bends in ambient space, defined at a point as the average of the two principal curvatures, commonly H = (k1 + k2)/2; it equals half the trace of the shape operator.

Mean Curvature

- Mathematics & Logic -
Pure Mathematics Dictionary
At a regular point of a smooth surface, the arithmetic mean H=(k1+k2)/2 of the two principal curvatures; an extrinsic measure of local bending related to the surface's normal variation.