Inequalities of Simons type and gaps for Yang-Mills fields

DOI10.1007/S10455-015-9467-ZzbMath1329.58007OpenAlexW826023932WikidataQ125908085 ScholiaQ125908085MaRDI QIDQ500369

Zhen-Rong Zhou

Publication date: 2 October 2015

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

Full work available at URL: https://doi.org/10.1007/s10455-015-9467-z

zbMATH Keywords

Yang-Mills connectiongap propertyinequality of Simons type

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Connections (general theory) (53C05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (5)

Energy gaps for Yang-Mills fields ⋮ Rigidity theorem for compact Bach-flat manifolds with positive constant \(\sigma_2\) ⋮ On compact Riemannian manifolds with harmonic Weyl curvature ⋮ An \(L^2\)-isolation theorem for Yang-Mills fields on Kähler surfaces ⋮ Energy gaps for exponential Yang-Mills fields

Cites Work

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• Gaps of \(F\)-Yang-Mills fields on submanifolds
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• The gap phenomena of Yang-Mills fields over the complete manifold
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• Connections with \(L^ p \)bounds on curvature
• An energy gap for Yang-Mills connections
• Minimal varieties in Riemannian manifolds
• Stability and gap phenomena for Yang-Mills fields
• Stabilities of F-Yang-Mills fields on submanifolds
• On Gap Properties and Instabilities of p-Yang–Mills Fields

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