Assertion: curvature's curvature | /r/HasProperty | intrinsic invariant
Facets:
Source sentences:
text: The crowning result, the Theorema Egregium of Gauss, established that the Gaussian curvature is an intrinsic invariant, i.e. invariant under local isometries.
text: The mean curvature is an extrinsic invariant.
text: The geodesic curvature at a point is an intrinsic invariant depending only on the metric near the point.
text: Since Δ is manifestly an intrinsic invariant, this gives yet another proof that the Gaussian curvature is an intrinsic invariant.