The uniqueness of tangent cones for Yang-Mills connections with isolated singularities.

DOI10.1016/S0001-8708(03)00016-1zbMath1049.53021arXivmath/0203077MaRDI QIDQ1421389

Baozhong Yang

Publication date: 26 January 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203077

zbMATH Keywords

variational inequalitygauge transformationstangent coneYang-Mills connectionasymptotic convergence

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)

Related Items (10)

A conformally invariant gap theorem in Yang-Mills theory ⋮ Deformation of singular connections I: \(G_2\)-instantons with point singularities ⋮ Uniqueness of tangent cones for biharmonic maps with isolated singularities ⋮ Łojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces ⋮ Stability of the tangent bundle through conifold transitions ⋮ A singular radial connection over \(\mathbb B^5\) minimizing the Yang-Mills energy ⋮ On uniqueness of tangent cones for Einstein manifolds ⋮ The resolution of the Yang-Mills plateau problem in super-critical dimensions ⋮ Complex algebraic compactifications of the moduli space of Hermitian Yang-Mills connections on a projective manifold ⋮ Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions

Cites Work

• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• A regularity theory for harmonic maps
• A monotonicity formula for Yang-Mills fields
• Compactness of the moduli space of Yang-Mills connections in higher dimensions
• On the radial behavior of minimal surfaces and the uniqueness of their tangent cones
• Connections with \(L^ p \)bounds on curvature
• On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay
• Gauge theory and calibrated geometry. I
• Compactification of the moduli spaces of vortices and coupled vortices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The uniqueness of tangent cones for Yang-Mills connections with isolated singularities.