geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms. Historically...
27 KB (4,594 words) - 19:15, 13 July 2024
A form-fit, form-locking or form-closed connection is a type of mechanical connection between two parts (example: screw and screwdriver), wherein these...
11 KB (1,228 words) - 01:27, 9 September 2024
In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector...
58 KB (7,683 words) - 14:11, 3 July 2024
Look up connections in Wiktionary, the free dictionary. Connections may refer to: Connection (disambiguation), plural form Connections: An Investigation...
1 KB (153 words) - 14:13, 26 February 2024
In differential geometry, the curvature form describes curvature of a connection on a principal bundle. The Riemann curvature tensor in Riemannian geometry...
5 KB (882 words) - 18:20, 29 August 2023
for an Ehresmann connection is that it can be represented as a differential form, in much the same way as the case of a connection form. If the group acts...
23 KB (3,155 words) - 16:33, 10 January 2024
Torsion tensor (redirect from Torsion of connection)
manifold M. This principal bundle is equipped with a connection form ω, a gl(n)-valued one-form which maps vertical vectors to the generators of the right...
27 KB (4,356 words) - 07:11, 5 September 2024
defined connection. The exterior product of a k-form α and an ℓ-form β, denoted α ∧ β, is a (k + ℓ)-form. At each point p of the manifold M, the forms α and...
66 KB (9,952 words) - 11:49, 13 September 2024
In mathematics, a metric connection is a connection in a vector bundle E equipped with a bundle metric; that is, a metric for which the inner product of...
18 KB (3,283 words) - 23:21, 7 January 2024
relativity), the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold (i.e. affine connection) that preserves the (pseudo-)Riemannian...
21 KB (3,396 words) - 16:13, 10 September 2024