Linked from

The 13 pages that link to Curvature, each with the reason it gives.

• GeodesicRelated: Curvature shapes how geodesics bend, meet, and separate.

• Arc lengthRelated: Curvature is commonly defined using change in direction per unit arc length.

• FullereneRelated: The curved carbon network distinguishes fullerene cages from flat graphene.

• Gaspard MongeRelated: His research on surfaces helped establish curvature as a central geometric quantity.

• Geometric analysisRelated: Curvature is both a geometric unknown and a key coefficient in analytic equations.

• Shiing-Shen ChernRelated: Chern’s characteristic-class formulas extract global information from curvature.

• Euler–Bernoulli beam theoryRelated: Beam bending is represented by the curvature of the neutral axis.

• Second derivativeRelated: For a graph, curvature depends on the second derivative as well as the first.

• Soddy's hexletRelated: Sphere curvature, taken as reciprocal radius, is the quantity used in Soddy's relation.

• Drops and bubblesNarrower topic: Interface curvature helps set the pressure jump across drops and bubbles.

• Fáry–Milnor theoremNarrower topic: Total curvature is formed by accumulating a curve's local bending.

• Four-vertex theoremNarrower topic: Vertices are defined as local extrema of this quantity along the curve.

• Meusnier's theoremNarrower topic: Meusnier’s theorem relates two specific meanings of curvature.