CURVATURE

Curvature

In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this is defined in different ways depending on the context. There is a key distinction between extrinsic curvature, which is defined for objects embedded in another space in a way that relates to the radius of curvature of circles that touch the object, and intrinsic curvature, which is defined at each point in a Riemannian manifold. This article deals primarily with the first concept.

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curvature

Noun

  1. The shape of something curved.
  2. The extent to which a subspace is curved within a metric space.
  3. The extent to which a Riemannian manifold is intrinsically curved.


The above text is a snippet from Wiktionary: curvature
and as such is available under the Creative Commons Attribution/Share-Alike License.

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