A Compactness Theorem for Yang-Mills Connections

Canadian mathematical bulletin

关键词: Yang-Mills connection;    vector bundle;    gauge transformation;   

DOI  :  10.4153/CMB-2004-060-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 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.

【 授权许可】

Unknown