An Energy Gap for Yang-mills Connections
نویسنده
چکیده
Consider a Yang-Mills connection over a Riemann manifold M = M, n ≥ 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.
منابع مشابه
An Energy Gap for Complex Yang–Mills Equations
We use the energy gap result of pure Yang–Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547–587] to prove another energy gap result of complex Yang–Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 11 (2012), 185–198], when Riemannian manifold X of dimension n ≥ 2 satisfies certain conditions.
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