Torsion tensor
id:
torsion-tensor-180-366265
title:
Torsion tensor
text:
In differential geometry, the torsion tensor is a tensor that is associated to any affine connection. The torsion tensor is bilinear map of two input vectors X, Y, that produces an output vector T representing the displacement within a tangent space when the tangent space is developed along an infinitesimal parallelogram whose sides are X, Y. It is skew symmetric in its inputs, because developing over the parallelogram in the opposite sense produces the opposite displacement, similarly to how a
brand slug:
wiki
category slug:
encyclopedia
description:
Manner of characterizing a twist or screw of a moving frame around a curve
original url:
https://en.wikipedia.org/wiki/Torsion_tensor
date created:
2006-03-10T14:06:42Z
date modified:
2024-09-05T07:11:03Z
main entity:
{"identifier":"Q13229797","url":"https://www.wikidata.org/entity/Q13229797"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/aa/Circle_development_with_torsion.png","width":800,"height":537}
fields total:
13
integrity:
16