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Principal curvature and Sphere

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Principal curvature and Sphere

Principal curvature vs. Sphere

In differential geometry, the two principal curvatures at a given point of a surface are the eigenvalues of the shape operator at the point. A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

Similarities between Principal curvature and Sphere

Principal curvature and Sphere have 8 things in common (in Unionpedia): Curvature, Euclidean space, Gaussian curvature, Mean curvature, Minimal surface, Normal (geometry), Radius, Umbilical point.

Curvature

In mathematics, curvature is any of a number of loosely related concepts in different areas of geometry.

Curvature and Principal curvature · Curvature and Sphere · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Euclidean space and Principal curvature · Euclidean space and Sphere · See more »

Gaussian curvature

In differential geometry, the Gaussian curvature or Gauss curvature Κ of a surface at a point is the product of the principal curvatures, κ1 and κ2, at the given point: For example, a sphere of radius r has Gaussian curvature 1/r2 everywhere, and a flat plane and a cylinder have Gaussian curvature 0 everywhere.

Gaussian curvature and Principal curvature · Gaussian curvature and Sphere · See more »

Mean curvature

In mathematics, the mean curvature H of a surface S is an extrinsic measure of curvature that comes from differential geometry and that locally describes the curvature of an embedded surface in some ambient space such as Euclidean space.

Mean curvature and Principal curvature · Mean curvature and Sphere · See more »

Minimal surface

In mathematics, a minimal surface is a surface that locally minimizes its area.

Minimal surface and Principal curvature · Minimal surface and Sphere · See more »

Normal (geometry)

In geometry, a normal is an object such as a line or vector that is perpendicular to a given object.

Normal (geometry) and Principal curvature · Normal (geometry) and Sphere · See more »

Radius

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Principal curvature and Radius · Radius and Sphere · See more »

Umbilical point

In the differential geometry of surfaces in three dimensions, umbilics or umbilical points are points on a surface that are locally spherical.

Principal curvature and Umbilical point · Sphere and Umbilical point · See more »

The list above answers the following questions

Principal curvature and Sphere Comparison

Principal curvature has 32 relations, while Sphere has 153. As they have in common 8, the Jaccard index is 4.32% = 8 / (32 + 153).

References

This article shows the relationship between Principal curvature and Sphere. To access each article from which the information was extracted, please visit:

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