An energy gap for Yang-Mills connections

Abstract

Consider a Yang-Mills connection over a Riemann manifold $M=M^n$, $n\ge 3$, where $M$ may be compact or complete. Then its energy must be bounded from below by some positive constant, if $M$ satisfies certain conditions, unless the connection is flat.

arXiv comment7 pages

Cited by in corpus (4)

• Energy gap for Yang-Mills connections, II: Arbitrary closed Riemannian manifolds
• Energy gap for Yang-Mills connections, I: Four-dimensional closed Riemannian manifolds
• A conformally invariant gap theorem in Yang-Mills theory
• A proof on energy gap for Yang-Mills connection