• 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 (4,526 words) - 18:51, 30 December 2023
  • Thumbnail for Form-fit connection
    A form-fit, form-locking or form-closed connection is a type of mechanical connection between two parts (example: screw and screwdriver), wherein these...
    3 KB (289 words) - 22:38, 10 April 2024
  • Thumbnail for Affine connection
    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) - 16:01, 8 February 2024
  • Thumbnail for Torsion tensor
    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) - 17:07, 17 March 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
  • 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
  • Ehresmann connection Grothendieck connection Levi-Civita connection Connection form Connection (fibred manifold) Connection (principal bundle) Connection (vector...
    19 KB (2,617 words) - 23:08, 31 October 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
  • 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 (9,950 words) - 14:18, 10 February 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