A Compactness Theorem for Yang-Mills Connections

[摘要] In this paper, we consider Yang-Mills connectionson a vector bundle $E$ over a compact Riemannian manifold $M$ ofdimension $m> 4$, and we show that any set of Yang-Millsconnections with the uniformly bounded $L^{frac{m}{2}}$-norm ofcurvature is compact in $C^{infty}$ topology.

[学科分类] 数学（综合）

[关键词] Yang-Mills connection;vector bundle;gauge transformation