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- Connection_(principal_bundle) abstract "In mathematics, 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-connection on a principal G-bundle P over a smooth manifold M is a particular type of connection which is compatible with the action of the group G.A principal connection can be viewed as a special case of the notion of an Ehresmann connection, and is sometimes called a principal Ehresmann connection. It gives rise to (Ehresmann) connections on any fiber bundle associated to P via the associated bundle construction. In particular, on any associated vector bundle the principal connection induces a covariant derivative, an operator that can differentiate sections of that bundle along tangent directions in the base manifold. Principal connections generalize to arbitrary principal bundles the concept of a linear connection on the frame bundle of a smooth manifold.".
- Connection_(principal_bundle) wikiPageID "470632".
- Connection_(principal_bundle) wikiPageLength "9455".
- Connection_(principal_bundle) wikiPageOutDegree "48".
- Connection_(principal_bundle) wikiPageRevisionID "676741712".
- Connection_(principal_bundle) wikiPageWikiLink Adjoint_bundle.
- Connection_(principal_bundle) wikiPageWikiLink Adjoint_representation.
- Connection_(principal_bundle) wikiPageWikiLink Affine_connection.
- Connection_(principal_bundle) wikiPageWikiLink Affine_space.
- Connection_(principal_bundle) wikiPageWikiLink Associated_bundle.
- Connection_(principal_bundle) wikiPageWikiLink Category:Connection_(mathematics).
- Connection_(principal_bundle) wikiPageWikiLink Category:Fiber_bundles.
- Connection_(principal_bundle) wikiPageWikiLink Connection_(vector_bundle).
- Connection_(principal_bundle) wikiPageWikiLink Connection_form.
- Connection_(principal_bundle) wikiPageWikiLink Covariant_derivative.
- Connection_(principal_bundle) wikiPageWikiLink Curvature_form.
- Connection_(principal_bundle) wikiPageWikiLink Differentiable_manifold.
- Connection_(principal_bundle) wikiPageWikiLink Ehresmann_connection.
- Connection_(principal_bundle) wikiPageWikiLink Exterior_covariant_derivative.
- Connection_(principal_bundle) wikiPageWikiLink Exterior_derivative.
- Connection_(principal_bundle) wikiPageWikiLink Fiber_bundle.
- Connection_(principal_bundle) wikiPageWikiLink Foundations_of_Differential_Geometry.
- Connection_(principal_bundle) wikiPageWikiLink Frame_bundle.
- Connection_(principal_bundle) wikiPageWikiLink Fundamental_vector_field.
- Connection_(principal_bundle) wikiPageWikiLink Group_action.
- Connection_(principal_bundle) wikiPageWikiLink Horizontal_bundle.
- Connection_(principal_bundle) wikiPageWikiLink John_Wiley_&_Sons.
- Connection_(principal_bundle) wikiPageWikiLink Lie_algebra-valued_differential_form.
- Connection_(principal_bundle) wikiPageWikiLink Mathematics.
- Connection_(principal_bundle) wikiPageWikiLink Parallel_transport.
- Connection_(principal_bundle) wikiPageWikiLink Principal_bundle.
- Connection_(principal_bundle) wikiPageWikiLink Pullback_(differential_geometry).
- Connection_(principal_bundle) wikiPageWikiLink Pushforward_(differential).
- Connection_(principal_bundle) wikiPageWikiLink Quotient_space_(topology).
- Connection_(principal_bundle) wikiPageWikiLink Representation_theory.
- Connection_(principal_bundle) wikiPageWikiLink Section_(fiber_bundle).
- Connection_(principal_bundle) wikiPageWikiLink Solder_form.
- Connection_(principal_bundle) wikiPageWikiLink Tangent_bundle.
- Connection_(principal_bundle) wikiPageWikiLink Tangent_vector.
- Connection_(principal_bundle) wikiPageWikiLink Torsion_tensor.
- Connection_(principal_bundle) wikiPageWikiLink Vector-valued_differential_form.
- Connection_(principal_bundle) wikiPageWikiLink Vertical_bundle.
- Connection_(principal_bundle) wikiPageWikiLinkText "(principal) connection".
- Connection_(principal_bundle) wikiPageWikiLinkText "Connection (principal bundle)".
- Connection_(principal_bundle) wikiPageWikiLinkText "connection (principal bundle)".
- Connection_(principal_bundle) wikiPageWikiLinkText "connection form".
- Connection_(principal_bundle) wikiPageWikiLinkText "connection in a principal bundle".
- Connection_(principal_bundle) wikiPageWikiLinkText "connection".
- Connection_(principal_bundle) wikiPageWikiLinkText "connections".
- Connection_(principal_bundle) wikiPageWikiLinkText "linear connection".
- Connection_(principal_bundle) wikiPageWikiLinkText "principal ''G''-connection".
- Connection_(principal_bundle) wikiPageWikiLinkText "principal GL(''n'') connection".
- Connection_(principal_bundle) wikiPageWikiLinkText "principal H-connection".
- Connection_(principal_bundle) wikiPageWikiLinkText "principal connection".
- Connection_(principal_bundle) wikiPageWikiLinkText "principal connections".
- Connection_(principal_bundle) wikiPageUsesTemplate Template:About.
- Connection_(principal_bundle) wikiPageUsesTemplate Template:Citation.
- Connection_(principal_bundle) wikiPageUsesTemplate Template:Harv.
- Connection_(principal_bundle) subject Category:Connection_(mathematics).
- Connection_(principal_bundle) subject Category:Fiber_bundles.
- Connection_(principal_bundle) hypernym Device.
- Connection_(principal_bundle) type Device.
- Connection_(principal_bundle) type Bundle.
- Connection_(principal_bundle) comment "In mathematics, 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-connection on a principal G-bundle P over a smooth manifold M is a particular type of connection which is compatible with the action of the group G.A principal connection can be viewed as a special case of the notion of an Ehresmann connection, and is sometimes called a principal Ehresmann connection.".
- Connection_(principal_bundle) label "Connection (principal bundle)".
- Connection_(principal_bundle) sameAs Q2920850.
- Connection_(principal_bundle) sameAs Zusammenhang_(Prinzipalbündel).
- Connection_(principal_bundle) sameAs 接続_(主バンドル).
- Connection_(principal_bundle) sameAs m.02p22ht.
- Connection_(principal_bundle) sameAs Q2920850.
- Connection_(principal_bundle) sameAs 联络_(主丛).
- Connection_(principal_bundle) wasDerivedFrom Connection_(principal_bundle)?oldid=676741712.
- Connection_(principal_bundle) isPrimaryTopicOf Connection_(principal_bundle).