Gaussian Curvature
Natural & Formal Sciences Dictionary
Definition
At a smooth point on a two-dimensional surface, the Gaussian curvature is the product of the two principal curvatures; equivalently, an intrinsic scalar measure of how the surface deviates from being locally isometric to a plane.
Gaussian Curvature
- Mathematics & Logic -
Pure Mathematics Dictionary
Definition
At a regular point of a smooth surface, the product of the two principal curvatures k1 and k2; an intrinsic measure of how the surface bends that depends only on the first fundamental form and not on the particular embedding in space.