Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections

DOI10.1007/s00208-004-0539-9zbMath1073.53084OpenAlexW2012763119WikidataQ116272008 ScholiaQ116272008MaRDI QIDQ707412

Min-Chun Hong, Tian, Gang

Publication date: 9 February 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-004-0539-9

zbMATH Keywords

holomorphic bundleheat flowYang-Mills connectionmonotonicity formulaYang-Mills-Higgs flow

Mathematics Subject Classification ID

Related Items (38)

Stability and energy identity for Yang–Mills–Higgs pairs ⋮ GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS ⋮ On the blow-up set of the Yang-Mills flow on Kähler surfaces ⋮ Instantons and singularities in the Yang-Mills flow ⋮ Singularity formation of the Yang-Mills flow ⋮ Energy identities and monotonicity for evolving \(k\)-forms on moving Riemannian spaces ⋮ Semi-stability for bi-holomorphic pairs over compact bi-Hermitian Gauduchon manifolds ⋮ Automorphisms and connections on Higgs bundles over compact Kähler manifolds ⋮ The energy identity for a sequence of Yang-Mills \(\alpha \)-connections ⋮ The limit of the Hermitian-Yang-Mills flow on reflexive sheaves ⋮ ON THE STUDY OF ONE FLOW FOR ASD CONNECTION ⋮ The Yang-Mills heat semigroup on three-manifolds with boundary ⋮ The non-abelian Hodge correspondence on some non-Kähler manifolds ⋮ A note on semistable Higgs bundles over compact Kähler manifolds ⋮ Uhlenbeck compactness for Yang-Mills flow in higher dimensions ⋮ The limiting behaviour of the Hermitian-Yang-Mills flow over compact non-Kähler manifolds ⋮ The gradient flow of Higgs pairs ⋮ Yang-Mills flow on special-holonomy manifolds ⋮ Parabolic flows in complex geometry ⋮ Local regularity for the harmonic map and Yang-Mills heat flows ⋮ Heat ball formulæ for \(k\)-forms on evolving manifolds ⋮ The coupled Yang-Mills-Higgs flow ⋮ Anti-self-dual connections and their related flow on 4-manifolds ⋮ Heat flow of Yang-Mills-Higgs functionals in dimension two ⋮ A note on curvature estimate of the Hermitian-Yang-Mills flow ⋮ In memory of Professor Chen Jiangong (Chen Kien Kwong) on the 120th anniversary of his birth ⋮ Progress on asymptotic behavior of the Yang-Mills-Higgs flow ⋮ Entropy and reduced distance for Ricci expanders ⋮ The gradient flow for gauged harmonic map in dimension two. II ⋮ Equivalence of helicity and Euclidean self-duality for gauge fields ⋮ Curvature and injectivity radius estimates for Einstein 4-manifolds ⋮ Semi-stability for holomorphic pairs on compact Gauduchon manifolds ⋮ SEIBERG–WITTEN FLOW IN HIGHER DIMENSIONS ⋮ Estimates and Monotonicity for a heat flow of isometric \(G_2\)-structures ⋮ Neumann domination for the Yang-Mills heat equation ⋮ A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles ⋮ Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds ⋮ Local monotonicity for the Yang-Mills-Higgs flow

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