Variational principles of general connections with a certain deformation of representations

DOI10.1007/S00025-019-1108-6zbMath1430.58012OpenAlexW2979610645WikidataQ127067521 ScholiaQ127067521MaRDI QIDQ2279804

Kensaku Kitada

Publication date: 16 December 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1108-6

zbMATH Keywords

variational principleHiggs mechanismLagrange's equationgeneral connectioncurrent conservation lawinhomogeneous field equation

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of global differential geometry to the sciences (53C80) Exterior differential systems (Cartan theory) (58A15) Connections (general theory) (53C05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (1)

Yang-Mills equations of general connections and certain solutions in the quaternionic Hopf fibration over four-sphere

Cites Work

• A certain space-time metric and smooth general connections
• General connections on vector bundles
• Geometry of certain first order differential operators and its applications to general connections
• On Joachimsthal's theorems in Riemann--Otsuki space $R-O_{3}$
• GENERAL CONNECTIONS ON PRINCIPAL BUNDLES
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