Natural principal connections on the principal gauge prolongation of a principal bundle

DOI10.1016/S0034-4877(10)00002-9zbMath1195.53040OpenAlexW2085664306MaRDI QIDQ962559

Josef Janyška, Jan Vondra

Publication date: 7 April 2010

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(10)00002-9

zbMATH Keywords

principal bundleprincipal connectionnatural operatorgauge natural bundle

Mathematics Subject Classification ID

Jets in global analysis (58A20) Connections (general theory) (53C05) Differential invariants (local theory), geometric objects (53A55) (G)-structures (53C10) Natural bundles (58A32)

Related Items (3)

On the gauge version of exponential map ⋮ Higgs fields induced by Yang–Mills type Lagrangians on gauge-natural prolongations of principal bundles ⋮ Unnamed Item

Cites Work

• Reduction theorems for general linear connections.
• Reduction theorems for principal and classical connections
• Holonomic extension of connections and symmetrization of jets
• Higher order valued reduction theorems for classical connections
• Higher order Utiyama-like theorem
• Conservation laws and variational sequences in gauge-natural theories
• Invariant Theoretical Interpretation of Interaction
• Natural Vector Bundles and Natural Differential Operators
• Gauge-natural bundles and generalized gauge theories
• Gauge natural constructions on higher order principal prolongations
• CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES
• On the reduction theorems
• Ricci-Calculus
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