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- Connection_(vector_bundle) abstract "In mathematics, 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. If the fiber bundle is a vector bundle, then the notion of parallel transport must be linear. Such a connection is equivalently specified by a covariant derivative, which is an operator that can differentiate sections of that bundle along tangent directions in the base manifold. Connections in this sense generalize, to arbitrary vector bundles, the concept of a linear connection on the tangent bundle of a smooth manifold, and are sometimes known as linear connections. Nonlinear connections are connections that are not necessarily linear in this sense.Connections on vector bundles are also sometimes called Koszul connections after Jean-Louis Koszul, who gave an algebraic framework for describing them (Koszul 1950).".
- Connection_(vector_bundle) wikiPageID "391816".
- Connection_(vector_bundle) wikiPageLength "13858".
- Connection_(vector_bundle) wikiPageOutDegree "57".
- Connection_(vector_bundle) wikiPageRevisionID "676741381".
- Connection_(vector_bundle) wikiPageWikiLink Affine_connection.
- Connection_(vector_bundle) wikiPageWikiLink Affine_space.
- Connection_(vector_bundle) wikiPageWikiLink Category:Connection_(mathematics).
- Connection_(vector_bundle) wikiPageWikiLink Category:Vector_bundles.
- Connection_(vector_bundle) wikiPageWikiLink Connection_(mathematics).
- Connection_(vector_bundle) wikiPageWikiLink Connection_(principal_bundle).
- Connection_(vector_bundle) wikiPageWikiLink Connection_form.
- Connection_(vector_bundle) wikiPageWikiLink Covariant_derivative.
- Connection_(vector_bundle) wikiPageWikiLink Covariant_exterior_derivative.
- Connection_(vector_bundle) wikiPageWikiLink D-module.
- Connection_(vector_bundle) wikiPageWikiLink Differentiable_manifold.
- Connection_(vector_bundle) wikiPageWikiLink Ehresmann_connection.
- Connection_(vector_bundle) wikiPageWikiLink Einstein_notation.
- Connection_(vector_bundle) wikiPageWikiLink Equivariant.
- Connection_(vector_bundle) wikiPageWikiLink Equivariant_map.
- Connection_(vector_bundle) wikiPageWikiLink Exterior_covariant_derivative.
- Connection_(vector_bundle) wikiPageWikiLink Exterior_derivative.
- Connection_(vector_bundle) wikiPageWikiLink Fiber_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Flat_vector_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Foundations_of_Differential_Geometry.
- Connection_(vector_bundle) wikiPageWikiLink Frame_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Holonomy.
- Connection_(vector_bundle) wikiPageWikiLink Holonomy_group.
- Connection_(vector_bundle) wikiPageWikiLink Jean-Louis_Koszul.
- Connection_(vector_bundle) wikiPageWikiLink John_Wiley_&_Sons.
- Connection_(vector_bundle) wikiPageWikiLink Levi-Civita_connection.
- Connection_(vector_bundle) wikiPageWikiLink Linear.
- Connection_(vector_bundle) wikiPageWikiLink Linear_isomorphism.
- Connection_(vector_bundle) wikiPageWikiLink Linear_map.
- Connection_(vector_bundle) wikiPageWikiLink Linearity.
- Connection_(vector_bundle) wikiPageWikiLink Loop_(topology).
- Connection_(vector_bundle) wikiPageWikiLink Mathematics.
- Connection_(vector_bundle) wikiPageWikiLink Moving_frame.
- Connection_(vector_bundle) wikiPageWikiLink Ordinary_differential_equation.
- Connection_(vector_bundle) wikiPageWikiLink Parallel_transport.
- Connection_(vector_bundle) wikiPageWikiLink Path_(topology).
- Connection_(vector_bundle) wikiPageWikiLink Principal_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Product_rule.
- Connection_(vector_bundle) wikiPageWikiLink Pullback_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Riemannian_manifold.
- Connection_(vector_bundle) wikiPageWikiLink Section_(fiber_bundle).
- Connection_(vector_bundle) wikiPageWikiLink Smooth_frame.
- Connection_(vector_bundle) wikiPageWikiLink Smooth_function.
- Connection_(vector_bundle) wikiPageWikiLink Smooth_functions.
- Connection_(vector_bundle) wikiPageWikiLink Smooth_manifold.
- Connection_(vector_bundle) wikiPageWikiLink Smoothness.
- Connection_(vector_bundle) wikiPageWikiLink Tangent_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Tangent_vector.
- Connection_(vector_bundle) wikiPageWikiLink Tensor_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Tensor_product.
- Connection_(vector_bundle) wikiPageWikiLink Tensor_product_of_modules.
- Connection_(vector_bundle) wikiPageWikiLink Trivial_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Vector-valued_differential_form.
- Connection_(vector_bundle) wikiPageWikiLink Vector-valued_form.
- Connection_(vector_bundle) wikiPageWikiLink Vector_bundle.
- Connection_(vector_bundle) wikiPageWikiLink Wiley_Interscience.
- Connection_(vector_bundle) wikiPageWikiLinkText "(Koszul) connection".
- Connection_(vector_bundle) wikiPageWikiLinkText "Connection (vector bundle)".
- Connection_(vector_bundle) wikiPageWikiLinkText "Koszul connection".
- Connection_(vector_bundle) wikiPageWikiLinkText "connection (vector bundle)".
- Connection_(vector_bundle) wikiPageWikiLinkText "connection in a vector bundle".
- Connection_(vector_bundle) wikiPageWikiLinkText "connection on a vector bundle".
- Connection_(vector_bundle) wikiPageWikiLinkText "connection on the vector bundle ''E''".
- Connection_(vector_bundle) wikiPageWikiLinkText "connection".
- Connection_(vector_bundle) wikiPageWikiLinkText "connections".
- Connection_(vector_bundle) wikiPageWikiLinkText "covariant derivative".
- Connection_(vector_bundle) wikiPageWikiLinkText "curvature".
- Connection_(vector_bundle) wikiPageWikiLinkText "general linear connection".
- Connection_(vector_bundle) wikiPageWikiLinkText "linear connection".
- Connection_(vector_bundle) wikiPageWikiLinkText "linear connections".
- Connection_(vector_bundle) wikiPageWikiLinkText "linear world connection".
- Connection_(vector_bundle) wikiPageWikiLinkText "linear".
- Connection_(vector_bundle) hasPhotoCollection Connection_(vector_bundle).
- Connection_(vector_bundle) wikiPageUsesTemplate Template:About.
- Connection_(vector_bundle) wikiPageUsesTemplate Template:Citation.
- Connection_(vector_bundle) wikiPageUsesTemplate Template:Harv.
- Connection_(vector_bundle) wikiPageUsesTemplate Template:Unicode.
- Connection_(vector_bundle) subject Category:Connection_(mathematics).
- Connection_(vector_bundle) subject Category:Vector_bundles.
- Connection_(vector_bundle) hypernym Device.
- Connection_(vector_bundle) type Device.
- Connection_(vector_bundle) comment "In mathematics, 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. If the fiber bundle is a vector bundle, then the notion of parallel transport must be linear. Such a connection is equivalently specified by a covariant derivative, which is an operator that can differentiate sections of that bundle along tangent directions in the base manifold.".
- Connection_(vector_bundle) label "Connection (vector bundle)".
- Connection_(vector_bundle) sameAs Connexion_de_Koszul.
- Connection_(vector_bundle) sameAs m.02p1rdd.
- Connection_(vector_bundle) sameAs Bağlantı_(vektör_demeti).
- Connection_(vector_bundle) sameAs Q521075.
- Connection_(vector_bundle) sameAs Q521075.
- Connection_(vector_bundle) sameAs 联络_(向量丛).
- Connection_(vector_bundle) wasDerivedFrom Connection_(vector_bundle)?oldid=676741381.
- Connection_(vector_bundle) isPrimaryTopicOf Connection_(vector_bundle).