A proof on energy gap for Yang-Mills connection

Abstract

In this note, we prove an $L^{\frac{n}{2}}$-energy gap result for Yang-Mills connections on a principal $G$-bundle over a compact manifold without using Lojasiewicz-Simon gradient inequality (arXiv:1502.00668).

Thanks a anonymous referee for helpful comments and corrections

References in corpus (1)

• Energy gap for Yang-Mills connections, II: Arbitrary closed Riemannian manifolds

Cited by in corpus (4)

• Energy gap for Yang-Mills connections, II: Arbitrary closed Riemannian manifolds
• An Energy Gap for Complex Yang-Mills Equations
• Morse theory for the Yang-Mills energy function near flat connections
• Some boundedness properties of solutions to the complex Yang-Mills equations on closed $4$-manifolds