Assertion: curvature's form | /r/CapableOf | determine full curvature
Facets:
value: via the gauss–codazzi equation
type: MANNER
Source sentences:
text: The second fundamental form, which determines the full curvature via the Gauss–Codazzi equation, is itself determined by the Ricci tensor and the principal directions of the hypersurface are also the eigendirections of the Ricci tensor.