# Dictionary search results

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## curvature British & World English

The fact of being curved or the degree to which something is curved

## field curvature British & World English

Curvature of the focal surface of a lens or other optical system; (Photography) an aberration caused by the use of a lens with a curved focal surface in capturing an image on a flat surface, the edges of the image being out of focus when the centre is in focus (and vice versa).

## Riemann curvature British & World English

A mathematical generalization of the concept of curvature to spaces of more than three dimensions.

## centre of curvature British & World English

The centre of a circle which passes through a curve at a given point and has the same tangent and curvature at that point

## radius of curvature British & World English

The radius of a circle which touches a curve at a given point and has the same tangent and curvature at that point

## Riemann curvature tensor British & World English

= Riemann–Christoffel tensor.

## centre of curvature in centre British & World English

The centre of a circle which passes through a curve at a given point and has the same tangent and curvature at that point

## Riemann–Christoffel curvature tensor in Riemann–Christoffel tensor British & World English

A fourth-order tensor for expressing the curvature of a Riemann space, vanishing under the condition that space is flat. Also Riemann–Christoffel curvature tensor.