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

DOI10.7546/GIQ-22-2021-121-135zbMath1471.58017OpenAlexW3160810457MaRDI QIDQ1980312

Kensaku Kitada

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-22-2021-121-135

zbMATH Keywords

Yang-Mills equationYang-Mills connectiongeneral connectionBPST anti-instanton

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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
• Variational principles of general connections with a certain deformation of representations
• On Joachimsthal's theorems in Riemann--Otsuki space $R-O_{3}$
• GENERAL CONNECTIONS ON PRINCIPAL BUNDLES
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