Global solution for the Yang-Mills gradient flow on 4-manifolds

DOI10.1017/S0027763000005328zbMath0849.58018MaRDI QIDQ4869962

Yoshiaki Maeda, Hideo Kozono, Hisashi Naito

Publication date: 10 November 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

global weak solutionlocal strong solutionYang-Mills gradient flow

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Connections (general theory) (53C05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (8)

Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ Instantons and singularities in the Yang-Mills flow ⋮ A conformally invariant gap theorem in Yang-Mills theory ⋮ Higher order Yang-Mills flow ⋮ The Yang-Mills flow for cylindrical end 4-manifolds ⋮ Long-time existence for Yang-Mills flow ⋮ A Yang-Mills-Higgs gradient flow on \(\mathbb{R}^3\) blowing up at infinity ⋮ Nonuniqueness for the Yang--Mills heat flow.

Cites Work

• Weak asymptotical stability of Yang-Mills' gradient flow
• Connections with \(L^ p \)bounds on curvature
• A stable manifold theorem for the Yang-Mills gradient flow
• A direct method for minimizing the Yang-Mills functional over 4- manifolds
• On the asymptotic behaviour of the Green operators for elliptic boundary problems and the pure imaginary powers of some second order operators
• A harnack inequality for parabolic differential equations
• Removable singularities in Yang-Mills fields

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