### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 13 (2017), 061, 15 pages      arXiv:1606.03948      https://doi.org/10.3842/SIGMA.2017.061

### An Energy Gap for Complex Yang-Mills Equations

Teng Huang ab
a) Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences, P.R. China
b) School of Mathematical Sciences, University of Science and Technology of China, P.R. China

Received May 31, 2017, in final form July 26, 2017; Published online August 08, 2017

Abstract
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 $n\geq 2$ satisfies certain conditions.

Key words: complex Yang-Mills equations; energy gap; gauge theory.

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