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==See also== * [[Curvature form]] for the appropriate notion of curvature for [[vector bundle]]s and [[principal bundle]]s with [[Connection (mathematics)|connection]] * [[Curvature of a measure]] for a notion of curvature in [[measure theory]] * [[Parametric surface#Curvature|Curvature of parametric surfaces]] * [[Curvature of Riemannian manifolds]] for generalizations of Gauss curvature to higher-dimensional [[Riemannian manifold]]s * [[Curvature vector]] and [[geodesic curvature]] for appropriate notions of curvature of ''curves in'' Riemannian manifolds, of any dimension * [[Degree of curvature]] * [[Differential geometry of curves]] for a full treatment of curves embedded in a Euclidean space of arbitrary dimension * [[Dioptre]], a measurement of curvature used in optics * [[Evolute]], the locus of the centers of curvature of a given curve * [[Fundamental theorem of curves]] * [[Gauss–Bonnet theorem]] for an elementary application of curvature * [[Gauss map]] for more geometric properties of Gauss curvature * [[Gauss's principle of least constraint]], an expression of the [[Principle of Least Action]] * [[Mean curvature]] at one point on a surface * [[Minimum railway curve radius]] * [[Radius of curvature (mathematics)|Radius of curvature]] * [[Second fundamental form]] for the extrinsic curvature of hypersurfaces in general * [[Sinuosity]] * [[Torsion of a curve]]
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