The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions

DOI10.1007/BF01455801zbMath0544.35082OpenAlexW2014742064MaRDI QIDQ796754

Lesley M. Sibner

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/163958

zbMATH Keywords

gradient estimatehigher dimensionscoupled Yang-Mills equationsgauge equivalentMorrey-Moser iterationremovable point singularitySubelliptic theory

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (20)

The analysis of inhomogeneous Yang–Mills connections on closed Riemannian manifold ⋮ Compactness theorems for coupled Yang-Mills fields ⋮ Compactness theorems for gradient Ricci solitons ⋮ Higher-order singularities in coupled Yang-Mills-Higgs fields ⋮ Accumulation-point singularities of low-energy gauge fields ⋮ A compactness result for Kähler Ricci solitons ⋮ Moduli spaces of critical Riemannian metrics with \(L^{\frac{n}{2}}\) norm curvature bounds ⋮ Multiple instantons representing higher-order Chern-Pontryagin classes, II ⋮ Regularity and compactness of harmonic-Einstein equations ⋮ Regularity for the harmonic-Einstein equation ⋮ Comment on “Removable singularities for solutions of coupled Yang-Mills-Dirac equations” [J. Math. Phys. 47, 103502 (2006)] ⋮ Energy and asymptotics of Ricci-flat 4-manifolds with a Killing field ⋮ Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry ⋮ ANALYTIC CONTINUATION OF VECTOR BUNDLES WITH L^p –CURVATURE ⋮ The energy of a smooth metric measure space and applications ⋮ A weak compactness theorem of the Donaldson-Thomas instantons on compact Kähler threefolds ⋮ Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds ⋮ Removable singularities for the Yang-Mills-Higgs equations in two dimensions ⋮ Properties of nonlinear Hodge fields ⋮ Limit holonomy and extension properties of Sobolev and Yang-Mills bundles.

Cites Work

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• Removable singularities of coupled Yang-Mills fields in \(R^ 3\)
• Connections with \(L^ p \)bounds on curvature
• Gauge theories on four dimensional Riemannian manifolds
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Removable singularities in Yang-Mills fields

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