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Canonical static concept record
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A covariant derivative that differentiates sections of a vector bundle along tangent directions.
A connection is additional data; a generic vector bundle has no preferred connection.
wp-bundle_connectionnlab-bundle_connectionEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A connection is additional differentiation data on a smooth vector bundle.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-bundle_connectionnlab-bundle_connectionEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Gauge-covariant differentiation is the physical use of a connection on an associated vector bundle.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-gauge_covariant_derivativenlab-physics-covariant_derivativeThis is an authored directed relation from the source endpoint to the target endpoint.
Gauge covariant derivatives are connections on associated vector bundles.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-gauge_field_theorynlab-physics-gauge_field_theorywp-bundle_connectionnlab-bundle_connection