A stable manifold theorem for the Yang-Mills gradient flow

DOI10.2748/tmj/1178227693zbMath0779.58013OpenAlexW1965140302WikidataQ125726442 ScholiaQ125726442MaRDI QIDQ1813681

Hisashi Naito, Hideo Kozono, Yoshiaki Maeda

Publication date: 25 June 1992

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227693

zbMATH Keywords

gradient flowstable manifoldYang-Mills functionalunstable

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Equations in function spaces; evolution equations (58D25)

Related Items (2)

Stability and energy identity for Yang–Mills–Higgs pairs ⋮ Global solution for the Yang-Mills gradient flow on 4-manifolds

Cites Work

• Weak asymptotical stability of Yang-Mills' gradient flow
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Solutions in \(L_ r\) of the Navier-Stokes initial value problem
• Stability and isolation phenomena for Yang-Mills fields
• Asymptotic behavior of solutions to Eells-Sampson equations near stable harmonic maps
• On asymptotic stability for the Yang-Mills gradient flow
• A generalized Morse theory
• Harmonic Mappings of Riemannian Manifolds
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