Connection (affine bundle)

id: connection-affine-bundle-313-17862009
title: Connection (affine bundle)
text: Let Y → X be an affine bundle modelled over a vector bundle Y → X. A connection Γ on Y → X is called the affine connection if it as a section Γ : Y → J1Y of the jet bundle J1Y → Y of Y is an affine bundle morphism over X. In particular, this is an affine connection on the tangent bundle TX of a smooth manifold X. With respect to affine bundle coordinates on Y, an affine connection Γ on Y → X is given by the tangent-valued connection form An affine bundle is a fiber bundle with a general affine s
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category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Connection_(affine_bundle)
date created:
date modified: 2021-03-14T02:35:51Z
main entity: {"identifier":"Q16251435","url":"https://www.wikidata.org/entity/Q16251435"}
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fields total: 13
integrity: 13

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