curvatures

Noun

curvature (countable and uncountable, plural curvatures)

1. The shape of something curved.
   • Constructional costs are kept to a minimum by the admissibility of heavy grades and sharp curvature.1946 May and June, “Logging Railways”, in Railway Magazine, page 151
2. The extent to which a subspace is curved within a metric space.
   • A turtle drawing an ellipse would have to turn more per distance traveled to get around its “pointy” sides than to get around its flatter top and bottom. This notion of how “pointy something is,” expressed as the ratio of angle turned to distance traveled, is the intrinsic quantity that...1980, Harold Abelson, Andrea DiSessa, Turtle Geometry : The Computer as a Medium for Exploring Mathematics, Cambridge, Massachusetts: MIT Press, archived from the original on 26 Jun 2021, pages 13–14
3. (differential geometry) The extent to which a Riemannian manifold is intrinsically curved.