CRITICAL POINTS OF YANG–MILLS–HIGGS FUNCTIONAL

DOI10.1142/S0219199711004403zbMath1220.58006MaRDI QIDQ3013898

Chong Song

Publication date: 19 July 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

harmonic mapenergy identityYang-Mills-Higgs functionaltwisted holomorphic map

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Applications of global differential geometry to the sciences (53C80) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Convergence of Yang-Mills-Higgs fields ⋮ Heat flow of Yang-Mills-Higgs functionals in dimension two ⋮ The boundary value problem for Yang-Mills-Higgs fields ⋮ Geometric analysis of the Yang-Mills-Higgs-Dirac model

Cites Work

• Bubble tree convergence for harmonic maps
• A compactification of the moduli space of twisted holomorphic maps
• Harmonic maps from degenerating Riemann surfaces
• Width and finite extinction time of Ricci flow
• The existence of minimal immersions of 2-spheres
• Compactification of moduli space of harmonic mappings
• Renormalized energy for Ginzburg-Landau vortices on closed surfaces
• Energy identity for a class of approximate harmonic maps from surfaces
• Lusternik-Schnirelman theory on Banach manifolds
• A weak energy identity and the length of necks for a sequence of Sacks-Uhlenbeck \(\alpha \)-harmonic maps
• Energy identity for approximations of harmonic maps from surfaces
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