Connection (vector bundle)

id: connection-vector-bundle-185-560800
title: Connection (vector bundle)
text: 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 most common case is that of a linear connection on a vector bundle, for which the notion of parallel transport must be linear. A linear connection is equivalently specified by a covariant derivative, an operator that differentiates sections of the bundle a
brand slug: wiki
category slug: encyclopedia
description: Defines a notion of parallel transport on a bundle
original url: https://en.wikipedia.org/wiki/Connection_(vector_bundle)
date created: 2003-12-07T10:50:16Z
date modified: 2024-09-07T16:16:43Z
main entity: {"identifier":"Q521075","url":"https://www.wikidata.org/entity/Q521075"}
image:
fields total: 13
integrity: 15

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