An Energy Gap for Complex Yang-Mills Equations

Abstract

We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587, arXiv:1502.00668] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 11 (2012), 185-198, arXiv:1401.7366], when Riemannian manifold $X$ of dimension $n\ge 2$ satisfies certain conditions.

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Cited by in corpus (2)

• Asymptotic behaviour of instantons on Cylinder Manifolds
• A compactness theorem for stable flat $SL(2,\mathbb{C})$ connections on $3$-folds