Assertion: mean curvature | /r/HasProperty | extrinsic measure of curvature
Facets:
value: in mathematics
type: OTHER
value: unlike gauss curvature
type: OTHER
Source sentences:
text: The mean curvature is an extrinsic measure of curvature equal to half the sum of the principal curvatures, k 1 + k 2
text: Unlike Gauss curvature, the mean curvature is extrinsic and depends on the embedding, for instance, a cylinder and a plane are locally isometric but the mean curvature of a plane is zero while that of a cylinder is nonzero.
text: In mathematics, the mean curvature of a surface is an extrinsic measure of curvature that comes from differential geometry and that locally describes the curvature of an embedded surface in some ambient space such as Euclidean space.