Connection may refer to:

Mathematics

Connection (algebraic framework) Geometry of quantum systems (e.g., noncommutative geometry and supergeometry) is mainly phrased in algebraic terms of modules and algebras. Connections on modules are generalization of a linear connection on a smooth vector bundle E\to X written a ...

Connection (mathematics) In geometry, the notion of a connection makes precise the idea of transporting local geometric objects, such as tangent vectors or tensors in the tangent space, along a curve or family of curves in a ''parallel'' and consistent manner. There are var ...

, a way of specifying a derivative of a geometrical object along a vector field on a manifold *

Connection (affine bundle) Let be an affine bundle modelled over a vector bundle . A connection (fibred manifold), connection on is called the affine connection if it as a section of the jet bundle of is an affine bundle morphism over . In particular, this is an affin ...

* Connection (composite bundle) *

Connection (fibred manifold) In differential geometry, a fibered manifold is surjective submersion of smooth manifolds . Locally trivial fibered manifolds are fiber bundles. Therefore, a notion of connection on fibered manifolds provides a general framework of a connect ...

Connection (principal bundle) In mathematics, and especially differential geometry and gauge theory, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. A principal ''G''-connecti ...

, gives the derivative of a section of a principal bundle *

Connection (vector bundle) In mathematics, and especially differential geometry and gauge theory, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. The mo ...

, differentiates a section of a vector bundle along a vector field *

Cartan connection In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the ...

, achieved by identifying tangent spaces with the tangent space of a certain model Klein geometry *

Ehresmann connection In differential geometry, an Ehresmann connection (after the French mathematician Charles Ehresmann who first formalized this concept) is a version of the notion of a connection, which makes sense on any smooth fiber bundle. In particular, it d ...

, gives a manner for differentiating sections of a general fibre bundle *

Electrical connection Components of an electrical circuit are electrically connected if an electric current can run between them through an electrical conductor. An electrical connector is an electromechanical device used to create an electrical connection betwee ...

, allows the flow of electrons *

Galois connection In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). Galois connections find applications in various mathematical theories. They generalize the funda ...

, a type of correspondence between two partially ordered sets *

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 fields to be differentiated as if they were functions on the manifold with values i ...

, a geometric object on a smooth manifold which connects nearby tangent spaces *

Levi-Civita connection In Riemannian or pseudo Riemannian geometry (in particular the Lorentzian geometry of general relativity), the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold (i.e. affine connection) that preserves th ...

, used in differential geometry and general relativity; differentiates a vector field along another vector field

Music

* ''Connection'' (The Green Children album), 2013 * ''Connection'' (Don Ellis album), 1972 * ''Connection'' (Up10tion album), 2021 * ''Connection'' (EP), a 2000 split EP by Home Grown and Limbeck *''Connection'', a 2019 EP by Seyong * "Connection" (Elastica song) (1994) * "Connection" (OneRepublic song) (2018) * "Connection" (Rolling Stones song) (1967) *"Connection", a 1976 song by Can from '' Unlimited Edition'' *"Connection", a song by Avail from ''

Satiate ''Satiate'' is the debut album released by Avail in 1992. ''Satiate'' was originally released on the band's own Catheter-Assembly Records, then re-released on Old Glory Records later that year. In 1994, Lookout! Records Lookout Records (styliz ...

Other uses

* ''Connection'' (film), a 2017 Konkani film in Goa *

Connection (dance) In partner dancing, connection is a term that refers to physical, non-verbal communication between dancers to facilitate synchronized or coordinated dance movements. Some forms of connection involve "lead/follow" in which one dancer (the "lead") d ...

, a means of communication between the lead and the follow *

Layover 250px, Layover for buses at LACMTA's Warner Center Transit Hub, Los Angeles ">Los_Angeles.html" ;"title="Warner Center Transit Hub, Los Angeles">Warner Center Transit Hub, Los Angeles In scheduled transportation, a layover (also waypoint, way ...

or connection, a transfer from one means of transport to another

Mathematics

Music

Other uses

See also