Singular Sobolev connections with holonomy

DOI10.1090/S0273-0979-1988-15703-5zbMath0671.35025OpenAlexW2010671521MaRDI QIDQ3824751

Lesley M. Sibner, Robert J. Sibner

Publication date: 1988

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1988-15703-5

zbMATH Keywords

singularitiesa priori estimatesmoothnessholonomy conditionlocal Sobolev connectionssmoothly embedded compact 2-manifold

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Analyticity in context of PDEs (35A20) A priori estimates in context of PDEs (35B45) Applications of global differential geometry to the sciences (53C80)

Related Items

A symmetric family of Yang-Mills fields ⋮ The Thullen type extension theorem for holomorphic vector bundles with \(L^ 2\)-bounds on curvature ⋮ Classification of singular Sobolev connections by their holonomy ⋮ Non-self-dual Yang-Mills connections with quadrupole symmetry ⋮ Hyperbolic multi-monopoles with arbitrary mass ⋮ The geometry of gauge fields ⋮ Limit holonomy and extension properties of Sobolev and Yang-Mills bundles.

Cites Work

• Magnetic monopoles on three-manifolds
• Removable singularities of coupled Yang-Mills fields in \(R^ 3\)
• Connections with \(L^ p \)bounds on curvature
• Removable singularities for the Yang-Mills-Higgs equations in two dimensions
• Monopoles on asymptotically Euclidean 3-manifolds
• Removable singularities in Yang-Mills fields
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