Does a generic connection depend continuously on its curvature?

DOI10.1007/BF01206891zbMath0519.53025MaRDI QIDQ1054292

Steven Shnider, Mark A. Mostow

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

non-abelian gauge theoryprincipal bundle with semi-simple structure group

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Connections (general theory) (53C05)

Related Items (7)

Determining and uniformly estimating the gauge potential corresponding to a given gauge field on \(M^ 4\) ⋮ Classifications of bundle connection pairs by parallel translation and lassos ⋮ Recursive formula for covariant derivatives and geometric classification of quotient modules ⋮ A Poincaré lemma for connection forms ⋮ Counterexamples to some results on the existence of field copies ⋮ Insufficiency of the Ricci and Bianchi identities for characterising curvature ⋮ The prescribed curvature problem in dimension four

Cites Work

• Counterexamples to some results on the existence of field copies
• The field copy problem: To what extent do curvature (gauge field) and its covariant derivatives determine connection (gauge potential)?
• The geometry of gauge field copies
• Some remarks on the Gribov ambiguity
• Differential forms. With applications to the physical sciences
• Singular Points of Complex Hypersurfaces. (AM-61)
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