Assertion: curvature's curvature | /r/HasProperty | depend on the direction of the curve
Facets:
Source sentences:
text: k {\displaystyle k} of γ {\displaystyle \gamma } depends on two factors: the curvature of the submanifold M {\displaystyle M} in the direction of γ {\displaystyle \gamma } (the normal curvature k n {\displaystyle k_{n}} ), which depends only on the direction of the curve, and the curvature of γ {\displaystyle \gamma } seen in M {\displaystyle M} (the geodesic curvature k g {\displaystyle k_{g}} ), which is a second order quantity.