Topological and analytical properties of Sobolev bundles. I: The critical case

DOI10.1007/s10455-008-9137-5zbMath1166.58003OpenAlexW1974333489MaRDI QIDQ1016365

Takeshi Isobe

Publication date: 5 May 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9137-5

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Topology of infinite-dimensional manifolds (57N20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Fiber bundles in algebraic topology (55R10)

Related Items (10)

Sobolev bundles with Abelian structure groups ⋮ The energy identity for a sequence of Yang-Mills \(\alpha \)-connections ⋮ Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases ⋮ Yang-Mills replacement ⋮ Weak closure of singular Abelian \(L ^{p }\)-bundles in 3 dimensions ⋮ The Variations of Yang–Mills Lagrangian ⋮ The resolution of the Yang-Mills plateau problem in super-critical dimensions ⋮ Sobolev connections and holomorphic structures over Kähler surfaces ⋮ A Quantum Kirwan Map, I: Fredholm Theory ⋮ Optimal Łojasiewicz-Simon inequalities and Morse-Bott Yang-Mills energy functions

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