A proof of energy gap for Yang-Mills connections

DOI10.1016/j.crma.2017.07.012zbMath1372.53029arXiv1704.02772OpenAlexW2605449853MaRDI QIDQ2401348

Teng Huang

Publication date: 8 September 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02772

zbMATH Keywords

Łojasiewicz-Simon gradient inequalityprincipal \( G\)-bundle

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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Some boundedness properties of solutions to the complex Yang-Mills equations on closed 4-manifolds

Cites Work

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• Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian manifolds
• The Chern classes of Sobolev connections
• An energy gap for Yang-Mills connections
• Removable singularities in Yang-Mills fields