The gap phenomena of Yang-Mills fields over the complete manifold

DOI10.1007/BF01214999zbMath0471.58031OpenAlexW356454195MaRDI QIDQ1157623

Chun-li Shen

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173171

zbMATH Keywords

scalar curvaturegauge groupfour-dimensional complete self-dual Riemannian manifoldstrength of a Yang-Mills field

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Applications of PDEs on manifolds (58J90)

Related Items

Energy gaps for Yang-Mills fields ⋮ Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ A conformally invariant gap theorem in Yang-Mills theory ⋮ Unnamed Item ⋮ \(L^2\)-isolation phenomenon for complete surfaces arising from Yang-Mills theory ⋮ Unnamed Item ⋮ Inequalities of Simons type and gaps for Yang-Mills fields ⋮ Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian manifolds ⋮ \(L^2\) vanishing theorem on some Kähler manifolds ⋮ Energy gaps for exponential Yang-Mills fields

Cites Work

• Stability and isolation phenomena for Yang-Mills fields
• Self-duality in four-dimensional Riemannian geometry
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